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Finding the Fourth Proportional to 586.31, 876.72 and 578.10

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Solution

The fourth proportional to 586.31, 876.72 and 578.10 is: 864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 876.72 = 578.10 : x
  2. Step 2: Convert to fraction form
    586.31/876.72 = 578.10/x
  3. Step 3: Cross multiply
    586.31x = 876.72 × 578.10
  4. Step 4: Simplify right side
    586.31x = 506,837.29
  5. Step 5: Solve for x
    x = 506,837.29/586.31
  6. Step 6: Final answer
    x = 864.46

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Why These Related Problems?

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