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Finding the Fourth Proportional to 585.72, 808.80 and 506.52

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Solution

The fourth proportional to 585.72, 808.80 and 506.52 is: 699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.72 : 808.80 = 506.52 : x
  2. Step 2: Convert to fraction form
    585.72/808.80 = 506.52/x
  3. Step 3: Cross multiply
    585.72x = 808.80 × 506.52
  4. Step 4: Simplify right side
    585.72x = 409,673.38
  5. Step 5: Solve for x
    x = 409,673.38/585.72
  6. Step 6: Final answer
    x = 699.44

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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.