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Finding the Fourth Proportional to 315.74, 474.16 and 290.42

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Solution

The fourth proportional to 315.74, 474.16 and 290.42 is: 436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.74 : 474.16 = 290.42 : x
  2. Step 2: Convert to fraction form
    315.74/474.16 = 290.42/x
  3. Step 3: Cross multiply
    315.74x = 474.16 × 290.42
  4. Step 4: Simplify right side
    315.74x = 137,705.55
  5. Step 5: Solve for x
    x = 137,705.55/315.74
  6. Step 6: Final answer
    x = 436.14

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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.