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Finding the Fourth Proportional to 587.52, 808.93 and 498.82

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Solution

The fourth proportional to 587.52, 808.93 and 498.82 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 808.93 = 498.82 : x
  2. Step 2: Convert to fraction form
    587.52/808.93 = 498.82/x
  3. Step 3: Cross multiply
    587.52x = 808.93 × 498.82
  4. Step 4: Simplify right side
    587.52x = 403,506.90
  5. Step 5: Solve for x
    x = 403,506.90/587.52
  6. Step 6: Final answer
    x = 686.80

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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.