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Finding the Fourth Proportional to 432.48, 596.62 and 292.55

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Solution

The fourth proportional to 432.48, 596.62 and 292.55 is: 403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.48 : 596.62 = 292.55 : x
  2. Step 2: Convert to fraction form
    432.48/596.62 = 292.55/x
  3. Step 3: Cross multiply
    432.48x = 596.62 × 292.55
  4. Step 4: Simplify right side
    432.48x = 174,541.18
  5. Step 5: Solve for x
    x = 174,541.18/432.48
  6. Step 6: Final answer
    x = 403.58

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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.