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Finding the Fourth Proportional to 580.65, 801.29 and 383.82

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Solution

The fourth proportional to 580.65, 801.29 and 383.82 is: 529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.65 : 801.29 = 383.82 : x
  2. Step 2: Convert to fraction form
    580.65/801.29 = 383.82/x
  3. Step 3: Cross multiply
    580.65x = 801.29 × 383.82
  4. Step 4: Simplify right side
    580.65x = 307,549.21
  5. Step 5: Solve for x
    x = 307,549.21/580.65
  6. Step 6: Final answer
    x = 529.66

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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.