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Finding the Fourth Proportional to 390.88, 538.89 and 307.66

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Solution

The fourth proportional to 390.88, 538.89 and 307.66 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.88 : 538.89 = 307.66 : x
  2. Step 2: Convert to fraction form
    390.88/538.89 = 307.66/x
  3. Step 3: Cross multiply
    390.88x = 538.89 × 307.66
  4. Step 4: Simplify right side
    390.88x = 165,794.90
  5. Step 5: Solve for x
    x = 165,794.90/390.88
  6. Step 6: Final answer
    x = 424.16

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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.