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Finding the Fourth Proportional to 585.61, 808.15 and 336.95

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Solution

The fourth proportional to 585.61, 808.15 and 336.95 is: 465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.61 : 808.15 = 336.95 : x
  2. Step 2: Convert to fraction form
    585.61/808.15 = 336.95/x
  3. Step 3: Cross multiply
    585.61x = 808.15 × 336.95
  4. Step 4: Simplify right side
    585.61x = 272,306.14
  5. Step 5: Solve for x
    x = 272,306.14/585.61
  6. Step 6: Final answer
    x = 465.00

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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.