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Finding the Fourth Proportional to 390.72, 586.08 and 208.16

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Solution

The fourth proportional to 390.72, 586.08 and 208.16 is: 312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.72 : 586.08 = 208.16 : x
  2. Step 2: Convert to fraction form
    390.72/586.08 = 208.16/x
  3. Step 3: Cross multiply
    390.72x = 586.08 × 208.16
  4. Step 4: Simplify right side
    390.72x = 121,995.48
  5. Step 5: Solve for x
    x = 121,995.48/390.72
  6. Step 6: Final answer
    x = 312.23

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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.