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Finding the Fourth Proportional to 582.30, 872.07 and 459.74

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Solution

The fourth proportional to 582.30, 872.07 and 459.74 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.30 : 872.07 = 459.74 : x
  2. Step 2: Convert to fraction form
    582.30/872.07 = 459.74/x
  3. Step 3: Cross multiply
    582.30x = 872.07 × 459.74
  4. Step 4: Simplify right side
    582.30x = 400,925.46
  5. Step 5: Solve for x
    x = 400,925.46/582.30
  6. Step 6: Final answer
    x = 688.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.