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Finding the Fourth Proportional to 587.79, 882.70 and 434.70

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Solution

The fourth proportional to 587.79, 882.70 and 434.70 is: 652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.79 : 882.70 = 434.70 : x
  2. Step 2: Convert to fraction form
    587.79/882.70 = 434.70/x
  3. Step 3: Cross multiply
    587.79x = 882.70 × 434.70
  4. Step 4: Simplify right side
    587.79x = 383,708.60
  5. Step 5: Solve for x
    x = 383,708.60/587.79
  6. Step 6: Final answer
    x = 652.80

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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.