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Finding the Fourth Proportional to 315.32, 474.06 and 291.56

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Solution

The fourth proportional to 315.32, 474.06 and 291.56 is: 438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.32 : 474.06 = 291.56 : x
  2. Step 2: Convert to fraction form
    315.32/474.06 = 291.56/x
  3. Step 3: Cross multiply
    315.32x = 474.06 × 291.56
  4. Step 4: Simplify right side
    315.32x = 138,216.93
  5. Step 5: Solve for x
    x = 138,216.93/315.32
  6. Step 6: Final answer
    x = 438.34

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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.