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Finding the Fourth Proportional to 432.61, 596.58 and 349.69

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Solution

The fourth proportional to 432.61, 596.58 and 349.69 is: 482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.61 : 596.58 = 349.69 : x
  2. Step 2: Convert to fraction form
    432.61/596.58 = 349.69/x
  3. Step 3: Cross multiply
    432.61x = 596.58 × 349.69
  4. Step 4: Simplify right side
    432.61x = 208,618.06
  5. Step 5: Solve for x
    x = 208,618.06/432.61
  6. Step 6: Final answer
    x = 482.23

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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.