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Finding the Fourth Proportional to 586.95, 808.14 and 446.62

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Solution

The fourth proportional to 586.95, 808.14 and 446.62 is: 614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.95 : 808.14 = 446.62 : x
  2. Step 2: Convert to fraction form
    586.95/808.14 = 446.62/x
  3. Step 3: Cross multiply
    586.95x = 808.14 × 446.62
  4. Step 4: Simplify right side
    586.95x = 360,932.66
  5. Step 5: Solve for x
    x = 360,932.66/586.95
  6. Step 6: Final answer
    x = 614.93

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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.