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Finding the Fourth Proportional to 586.48, 877.92 and 483.52

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Solution

The fourth proportional to 586.48, 877.92 and 483.52 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.48 : 877.92 = 483.52 : x
  2. Step 2: Convert to fraction form
    586.48/877.92 = 483.52/x
  3. Step 3: Cross multiply
    586.48x = 877.92 × 483.52
  4. Step 4: Simplify right side
    586.48x = 424,491.88
  5. Step 5: Solve for x
    x = 424,491.88/586.48
  6. Step 6: Final answer
    x = 723.80

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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.