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Finding the Fourth Proportional to 532.04, 795.30 and 459.74

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Solution

The fourth proportional to 532.04, 795.30 and 459.74 is: 687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.04 : 795.30 = 459.74 : x
  2. Step 2: Convert to fraction form
    532.04/795.30 = 459.74/x
  3. Step 3: Cross multiply
    532.04x = 795.30 × 459.74
  4. Step 4: Simplify right side
    532.04x = 365,634.07
  5. Step 5: Solve for x
    x = 365,634.07/532.04
  6. Step 6: Final answer
    x = 687.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.