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Finding the Fourth Proportional to 585.83, 808.47 and 337.19

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Solution

The fourth proportional to 585.83, 808.47 and 337.19 is: 465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 808.47 = 337.19 : x
  2. Step 2: Convert to fraction form
    585.83/808.47 = 337.19/x
  3. Step 3: Cross multiply
    585.83x = 808.47 × 337.19
  4. Step 4: Simplify right side
    585.83x = 272,608.00
  5. Step 5: Solve for x
    x = 272,608.00/585.83
  6. Step 6: Final answer
    x = 465.34

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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.