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Finding the Fourth Proportional to 586.13, 808.83 and 337.46

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Solution

The fourth proportional to 586.13, 808.83 and 337.46 is: 465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.13 : 808.83 = 337.46 : x
  2. Step 2: Convert to fraction form
    586.13/808.83 = 337.46/x
  3. Step 3: Cross multiply
    586.13x = 808.83 × 337.46
  4. Step 4: Simplify right side
    586.13x = 272,943.73
  5. Step 5: Solve for x
    x = 272,943.73/586.13
  6. Step 6: Final answer
    x = 465.67

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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.