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Finding the Fourth Proportional to 582.52, 877.72 and 482.06

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Solution

The fourth proportional to 582.52, 877.72 and 482.06 is: 726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 877.72 = 482.06 : x
  2. Step 2: Convert to fraction form
    582.52/877.72 = 482.06/x
  3. Step 3: Cross multiply
    582.52x = 877.72 × 482.06
  4. Step 4: Simplify right side
    582.52x = 423,113.70
  5. Step 5: Solve for x
    x = 423,113.70/582.52
  6. Step 6: Final answer
    x = 726.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.