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Finding the Fourth Proportional to 587.07, 880.43 and 313.02

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Solution

The fourth proportional to 587.07, 880.43 and 313.02 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.07 : 880.43 = 313.02 : x
  2. Step 2: Convert to fraction form
    587.07/880.43 = 313.02/x
  3. Step 3: Cross multiply
    587.07x = 880.43 × 313.02
  4. Step 4: Simplify right side
    587.07x = 275,592.20
  5. Step 5: Solve for x
    x = 275,592.20/587.07
  6. Step 6: Final answer
    x = 469.44

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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.