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Finding the Fourth Proportional to 585.89, 808.51 and 337.22

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Solution

The fourth proportional to 585.89, 808.51 and 337.22 is: 465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.89 : 808.51 = 337.22 : x
  2. Step 2: Convert to fraction form
    585.89/808.51 = 337.22/x
  3. Step 3: Cross multiply
    585.89x = 808.51 × 337.22
  4. Step 4: Simplify right side
    585.89x = 272,646.84
  5. Step 5: Solve for x
    x = 272,646.84/585.89
  6. Step 6: Final answer
    x = 465.35

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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.