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Finding the Fourth Proportional to 479.18, 718.23 and 205.13

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Solution

The fourth proportional to 479.18, 718.23 and 205.13 is: 307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.18 : 718.23 = 205.13 : x
  2. Step 2: Convert to fraction form
    479.18/718.23 = 205.13/x
  3. Step 3: Cross multiply
    479.18x = 718.23 × 205.13
  4. Step 4: Simplify right side
    479.18x = 147,330.52
  5. Step 5: Solve for x
    x = 147,330.52/479.18
  6. Step 6: Final answer
    x = 307.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.