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Finding the Fourth Proportional to 585.83, 808.49 and 337.10

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Solution

The fourth proportional to 585.83, 808.49 and 337.10 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 808.49 = 337.10 : x
  2. Step 2: Convert to fraction form
    585.83/808.49 = 337.10/x
  3. Step 3: Cross multiply
    585.83x = 808.49 × 337.10
  4. Step 4: Simplify right side
    585.83x = 272,538.78
  5. Step 5: Solve for x
    x = 272,538.78/585.83
  6. Step 6: Final answer
    x = 465.22

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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.