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Finding the Fourth Proportional to 587.17, 880.52 and 313.34

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Solution

The fourth proportional to 587.17, 880.52 and 313.34 is: 469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.17 : 880.52 = 313.34 : x
  2. Step 2: Convert to fraction form
    587.17/880.52 = 313.34/x
  3. Step 3: Cross multiply
    587.17x = 880.52 × 313.34
  4. Step 4: Simplify right side
    587.17x = 275,897.93
  5. Step 5: Solve for x
    x = 275,897.93/587.17
  6. Step 6: Final answer
    x = 469.88

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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.