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Finding the Fourth Proportional to 532.66, 733.60 and 458.95

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Solution

The fourth proportional to 532.66, 733.60 and 458.95 is: 632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.66 : 733.60 = 458.95 : x
  2. Step 2: Convert to fraction form
    532.66/733.60 = 458.95/x
  3. Step 3: Cross multiply
    532.66x = 733.60 × 458.95
  4. Step 4: Simplify right side
    532.66x = 336,685.72
  5. Step 5: Solve for x
    x = 336,685.72/532.66
  6. Step 6: Final answer
    x = 632.08

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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.