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Finding the Fourth Proportional to 724.76, 999.96 and 410

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Solution

The fourth proportional to 724.76, 999.96 and 410 is: 565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.76 : 999.96 = 410 : x
  2. Step 2: Convert to fraction form
    724.76/999.96 = 410/x
  3. Step 3: Cross multiply
    724.76x = 999.96 × 410
  4. Step 4: Simplify right side
    724.76x = 409,983.60
  5. Step 5: Solve for x
    x = 409,983.60/724.76
  6. Step 6: Final answer
    x = 565.68

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.