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Finding the Fourth Proportional to 596.76, 822.99 and 432.06

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Solution

The fourth proportional to 596.76, 822.99 and 432.06 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 822.99 = 432.06 : x
  2. Step 2: Convert to fraction form
    596.76/822.99 = 432.06/x
  3. Step 3: Cross multiply
    596.76x = 822.99 × 432.06
  4. Step 4: Simplify right side
    596.76x = 355,576.94
  5. Step 5: Solve for x
    x = 355,576.94/596.76
  6. Step 6: Final answer
    x = 595.85

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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.