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Finding the Fourth Proportional to 586.93, 810.17 and 338.35

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Solution

The fourth proportional to 586.93, 810.17 and 338.35 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.93 : 810.17 = 338.35 : x
  2. Step 2: Convert to fraction form
    586.93/810.17 = 338.35/x
  3. Step 3: Cross multiply
    586.93x = 810.17 × 338.35
  4. Step 4: Simplify right side
    586.93x = 274,122.24
  5. Step 5: Solve for x
    x = 274,122.24/586.93
  6. Step 6: Final answer
    x = 467.04

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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.