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Finding the Fourth Proportional to 581.73, 802.72 and 332.98

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Solution

The fourth proportional to 581.73, 802.72 and 332.98 is: 459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.73 : 802.72 = 332.98 : x
  2. Step 2: Convert to fraction form
    581.73/802.72 = 332.98/x
  3. Step 3: Cross multiply
    581.73x = 802.72 × 332.98
  4. Step 4: Simplify right side
    581.73x = 267,289.71
  5. Step 5: Solve for x
    x = 267,289.71/581.73
  6. Step 6: Final answer
    x = 459.47

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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.