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Finding the Fourth Proportional to 582.66, 802.80 and 478.08

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Solution

The fourth proportional to 582.66, 802.80 and 478.08 is: 658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 802.80 = 478.08 : x
  2. Step 2: Convert to fraction form
    582.66/802.80 = 478.08/x
  3. Step 3: Cross multiply
    582.66x = 802.80 × 478.08
  4. Step 4: Simplify right side
    582.66x = 383,802.62
  5. Step 5: Solve for x
    x = 383,802.62/582.66
  6. Step 6: Final answer
    x = 658.71

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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.