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Finding the Fourth Proportional to 581.47, 802.38 and 332.71

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Solution

The fourth proportional to 581.47, 802.38 and 332.71 is: 459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.47 : 802.38 = 332.71 : x
  2. Step 2: Convert to fraction form
    581.47/802.38 = 332.71/x
  3. Step 3: Cross multiply
    581.47x = 802.38 × 332.71
  4. Step 4: Simplify right side
    581.47x = 266,959.85
  5. Step 5: Solve for x
    x = 266,959.85/581.47
  6. Step 6: Final answer
    x = 459.11

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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.