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Finding the Fourth Proportional to 581.30, 802.20 and 332.61

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Solution

The fourth proportional to 581.30, 802.20 and 332.61 is: 459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.30 : 802.20 = 332.61 : x
  2. Step 2: Convert to fraction form
    581.30/802.20 = 332.61/x
  3. Step 3: Cross multiply
    581.30x = 802.20 × 332.61
  4. Step 4: Simplify right side
    581.30x = 266,821.94
  5. Step 5: Solve for x
    x = 266,821.94/581.30
  6. Step 6: Final answer
    x = 459.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.