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Finding the Fourth Proportional to 390.58, 586.13 and 208.10

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Solution

The fourth proportional to 390.58, 586.13 and 208.10 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.58 : 586.13 = 208.10 : x
  2. Step 2: Convert to fraction form
    390.58/586.13 = 208.10/x
  3. Step 3: Cross multiply
    390.58x = 586.13 × 208.10
  4. Step 4: Simplify right side
    390.58x = 121,974.08
  5. Step 5: Solve for x
    x = 121,974.08/390.58
  6. Step 6: Final answer
    x = 312.29

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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.