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Finding the Fourth Proportional to 432.91, 596.56 and 308.35

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Solution

The fourth proportional to 432.91, 596.56 and 308.35 is: 424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.91 : 596.56 = 308.35 : x
  2. Step 2: Convert to fraction form
    432.91/596.56 = 308.35/x
  3. Step 3: Cross multiply
    432.91x = 596.56 × 308.35
  4. Step 4: Simplify right side
    432.91x = 183,948.51
  5. Step 5: Solve for x
    x = 183,948.51/432.91
  6. Step 6: Final answer
    x = 424.91

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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.