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Finding the Fourth Proportional to 315.74, 470.98 and 264.72

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Solution

The fourth proportional to 315.74, 470.98 and 264.72 is: 394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.74 : 470.98 = 264.72 : x
  2. Step 2: Convert to fraction form
    315.74/470.98 = 264.72/x
  3. Step 3: Cross multiply
    315.74x = 470.98 × 264.72
  4. Step 4: Simplify right side
    315.74x = 124,677.83
  5. Step 5: Solve for x
    x = 124,677.83/315.74
  6. Step 6: Final answer
    x = 394.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.