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Finding the Fourth Proportional to 585.83, 808.52 and 337.23

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Solution

The fourth proportional to 585.83, 808.52 and 337.23 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.83 : 808.52 = 337.23 : x
  2. Step 2: Convert to fraction form
    585.83/808.52 = 337.23/x
  3. Step 3: Cross multiply
    585.83x = 808.52 × 337.23
  4. Step 4: Simplify right side
    585.83x = 272,655.51
  5. Step 5: Solve for x
    x = 272,655.51/585.83
  6. Step 6: Final answer
    x = 465.42

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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.