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Finding the Fourth Proportional to 390.35, 584.72 and 174.08

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Solution

The fourth proportional to 390.35, 584.72 and 174.08 is: 260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.35 : 584.72 = 174.08 : x
  2. Step 2: Convert to fraction form
    390.35/584.72 = 174.08/x
  3. Step 3: Cross multiply
    390.35x = 584.72 × 174.08
  4. Step 4: Simplify right side
    390.35x = 101,788.06
  5. Step 5: Solve for x
    x = 101,788.06/390.35
  6. Step 6: Final answer
    x = 260.76

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