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Finding the Fourth Proportional to 581.68, 802.20 and 470.92

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Solution

The fourth proportional to 581.68, 802.20 and 470.92 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 802.20 = 470.92 : x
  2. Step 2: Convert to fraction form
    581.68/802.20 = 470.92/x
  3. Step 3: Cross multiply
    581.68x = 802.20 × 470.92
  4. Step 4: Simplify right side
    581.68x = 377,772.02
  5. Step 5: Solve for x
    x = 377,772.02/581.68
  6. Step 6: Final answer
    x = 649.45

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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.