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Finding the Fourth Proportional to 476.46, 715.04 and 314.51

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Solution

The fourth proportional to 476.46, 715.04 and 314.51 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.46 : 715.04 = 314.51 : x
  2. Step 2: Convert to fraction form
    476.46/715.04 = 314.51/x
  3. Step 3: Cross multiply
    476.46x = 715.04 × 314.51
  4. Step 4: Simplify right side
    476.46x = 224,882.08
  5. Step 5: Solve for x
    x = 224,882.08/476.46
  6. Step 6: Final answer
    x = 471.99

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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.