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Finding the Fourth Proportional to 587.12, 880.38 and 313.14

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Solution

The fourth proportional to 587.12, 880.38 and 313.14 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.12 : 880.38 = 313.14 : x
  2. Step 2: Convert to fraction form
    587.12/880.38 = 313.14/x
  3. Step 3: Cross multiply
    587.12x = 880.38 × 313.14
  4. Step 4: Simplify right side
    587.12x = 275,682.19
  5. Step 5: Solve for x
    x = 275,682.19/587.12
  6. Step 6: Final answer
    x = 469.55

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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.