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Finding the Fourth Proportional to 576.84, 865.05 and 461.01

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Solution

The fourth proportional to 576.84, 865.05 and 461.01 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 865.05 = 461.01 : x
  2. Step 2: Convert to fraction form
    576.84/865.05 = 461.01/x
  3. Step 3: Cross multiply
    576.84x = 865.05 × 461.01
  4. Step 4: Simplify right side
    576.84x = 398,792.38
  5. Step 5: Solve for x
    x = 398,792.38/576.84
  6. Step 6: Final answer
    x = 691.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.