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Finding the Fourth Proportional to 432.18, 596.06 and 314.16

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Solution

The fourth proportional to 432.18, 596.06 and 314.16 is: 433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.18 : 596.06 = 314.16 : x
  2. Step 2: Convert to fraction form
    432.18/596.06 = 314.16/x
  3. Step 3: Cross multiply
    432.18x = 596.06 × 314.16
  4. Step 4: Simplify right side
    432.18x = 187,256.64
  5. Step 5: Solve for x
    x = 187,256.64/432.18
  6. Step 6: Final answer
    x = 433.28

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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.