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Finding the Fourth Proportional to 432.56, 592.60 and 416.12

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Solution

The fourth proportional to 432.56, 592.60 and 416.12 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 592.60 = 416.12 : x
  2. Step 2: Convert to fraction form
    432.56/592.60 = 416.12/x
  3. Step 3: Cross multiply
    432.56x = 592.60 × 416.12
  4. Step 4: Simplify right side
    432.56x = 246,592.71
  5. Step 5: Solve for x
    x = 246,592.71/432.56
  6. Step 6: Final answer
    x = 570.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.