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Finding the Fourth Proportional to 587.37, 880.76 and 313.38

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Solution

The fourth proportional to 587.37, 880.76 and 313.38 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.37 : 880.76 = 313.38 : x
  2. Step 2: Convert to fraction form
    587.37/880.76 = 313.38/x
  3. Step 3: Cross multiply
    587.37x = 880.76 × 313.38
  4. Step 4: Simplify right side
    587.37x = 276,012.57
  5. Step 5: Solve for x
    x = 276,012.57/587.37
  6. Step 6: Final answer
    x = 469.91

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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.