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Finding the Fourth Proportional to 585.74, 808.28 and 337.01

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Solution

The fourth proportional to 585.74, 808.28 and 337.01 is: 465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.74 : 808.28 = 337.01 : x
  2. Step 2: Convert to fraction form
    585.74/808.28 = 337.01/x
  3. Step 3: Cross multiply
    585.74x = 808.28 × 337.01
  4. Step 4: Simplify right side
    585.74x = 272,398.78
  5. Step 5: Solve for x
    x = 272,398.78/585.74
  6. Step 6: Final answer
    x = 465.05

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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.