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Finding the Fourth Proportional to 587.28, 805.47 and 572.64

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Solution

The fourth proportional to 587.28, 805.47 and 572.64 is: 785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.28 : 805.47 = 572.64 : x
  2. Step 2: Convert to fraction form
    587.28/805.47 = 572.64/x
  3. Step 3: Cross multiply
    587.28x = 805.47 × 572.64
  4. Step 4: Simplify right side
    587.28x = 461,244.34
  5. Step 5: Solve for x
    x = 461,244.34/587.28
  6. Step 6: Final answer
    x = 785.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.