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Finding the Fourth Proportional to 587.52, 885.60 and 535.68

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Solution

The fourth proportional to 587.52, 885.60 and 535.68 is: 807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 885.60 = 535.68 : x
  2. Step 2: Convert to fraction form
    587.52/885.60 = 535.68/x
  3. Step 3: Cross multiply
    587.52x = 885.60 × 535.68
  4. Step 4: Simplify right side
    587.52x = 474,398.21
  5. Step 5: Solve for x
    x = 474,398.21/587.52
  6. Step 6: Final answer
    x = 807.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.