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Finding the Fourth Proportional to 432.60, 596.99 and 257.91

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Solution

The fourth proportional to 432.60, 596.99 and 257.91 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 596.99 = 257.91 : x
  2. Step 2: Convert to fraction form
    432.60/596.99 = 257.91/x
  3. Step 3: Cross multiply
    432.60x = 596.99 × 257.91
  4. Step 4: Simplify right side
    432.60x = 153,968.10
  5. Step 5: Solve for x
    x = 153,968.10/432.60
  6. Step 6: Final answer
    x = 355.92

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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.