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Finding the Fourth Proportional to 601.60, 832.08 and 532.60

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Solution

The fourth proportional to 601.60, 832.08 and 532.60 is: 736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.60 : 832.08 = 532.60 : x
  2. Step 2: Convert to fraction form
    601.60/832.08 = 532.60/x
  3. Step 3: Cross multiply
    601.60x = 832.08 × 532.60
  4. Step 4: Simplify right side
    601.60x = 443,165.81
  5. Step 5: Solve for x
    x = 443,165.81/601.60
  6. Step 6: Final answer
    x = 736.65

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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.