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Finding the Fourth Proportional to 581.71, 803.91 and 476.63

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Solution

The fourth proportional to 581.71, 803.91 and 476.63 is: 658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.71 : 803.91 = 476.63 : x
  2. Step 2: Convert to fraction form
    581.71/803.91 = 476.63/x
  3. Step 3: Cross multiply
    581.71x = 803.91 × 476.63
  4. Step 4: Simplify right side
    581.71x = 383,164.15
  5. Step 5: Solve for x
    x = 383,164.15/581.71
  6. Step 6: Final answer
    x = 658.69

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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.