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Finding the Fourth Proportional to 524.50, 723.81 and 291.63

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Solution

The fourth proportional to 524.50, 723.81 and 291.63 is: 402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 723.81 = 291.63 : x
  2. Step 2: Convert to fraction form
    524.50/723.81 = 291.63/x
  3. Step 3: Cross multiply
    524.50x = 723.81 × 291.63
  4. Step 4: Simplify right side
    524.50x = 211,084.71
  5. Step 5: Solve for x
    x = 211,084.71/524.50
  6. Step 6: Final answer
    x = 402.45

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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.