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Finding the Fourth Proportional to 585.64, 808.20 and 337.04

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Solution

The fourth proportional to 585.64, 808.20 and 337.04 is: 465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.64 : 808.20 = 337.04 : x
  2. Step 2: Convert to fraction form
    585.64/808.20 = 337.04/x
  3. Step 3: Cross multiply
    585.64x = 808.20 × 337.04
  4. Step 4: Simplify right side
    585.64x = 272,394.72
  5. Step 5: Solve for x
    x = 272,394.72/585.64
  6. Step 6: Final answer
    x = 465.12

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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.