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Finding the Fourth Proportional to 587.48, 811.08 and 456.24

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Solution

The fourth proportional to 587.48, 811.08 and 456.24 is: 629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.48 : 811.08 = 456.24 : x
  2. Step 2: Convert to fraction form
    587.48/811.08 = 456.24/x
  3. Step 3: Cross multiply
    587.48x = 811.08 × 456.24
  4. Step 4: Simplify right side
    587.48x = 370,047.14
  5. Step 5: Solve for x
    x = 370,047.14/587.48
  6. Step 6: Final answer
    x = 629.89

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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.