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Finding the Fourth Proportional to 587.86, 880.94 and 457.25

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Solution

The fourth proportional to 587.86, 880.94 and 457.25 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.86 : 880.94 = 457.25 : x
  2. Step 2: Convert to fraction form
    587.86/880.94 = 457.25/x
  3. Step 3: Cross multiply
    587.86x = 880.94 × 457.25
  4. Step 4: Simplify right side
    587.86x = 402,806.55
  5. Step 5: Solve for x
    x = 402,806.55/587.86
  6. Step 6: Final answer
    x = 685.21

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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.