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Finding the Fourth Proportional to 586.44, 876.96 and 577.80

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Solution

The fourth proportional to 586.44, 876.96 and 577.80 is: 864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.44 : 876.96 = 577.80 : x
  2. Step 2: Convert to fraction form
    586.44/876.96 = 577.80/x
  3. Step 3: Cross multiply
    586.44x = 876.96 × 577.80
  4. Step 4: Simplify right side
    586.44x = 506,707.49
  5. Step 5: Solve for x
    x = 506,707.49/586.44
  6. Step 6: Final answer
    x = 864.04

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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.