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Finding the Fourth Proportional to 587.52, 810.36 and 457.20

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Solution

The fourth proportional to 587.52, 810.36 and 457.20 is: 630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 810.36 = 457.20 : x
  2. Step 2: Convert to fraction form
    587.52/810.36 = 457.20/x
  3. Step 3: Cross multiply
    587.52x = 810.36 × 457.20
  4. Step 4: Simplify right side
    587.52x = 370,496.59
  5. Step 5: Solve for x
    x = 370,496.59/587.52
  6. Step 6: Final answer
    x = 630.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.