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Finding the Fourth Proportional to 586, 808.50 and 337.33

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Solution

The fourth proportional to 586, 808.50 and 337.33 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 808.50 = 337.33 : x
  2. Step 2: Convert to fraction form
    586/808.50 = 337.33/x
  3. Step 3: Cross multiply
    586x = 808.50 × 337.33
  4. Step 4: Simplify right side
    586x = 272,731.31
  5. Step 5: Solve for x
    x = 272,731.31/586
  6. Step 6: Final answer
    x = 465.41

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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.