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Finding the Fourth Proportional to 476.78, 715.19 and 152.15

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Solution

The fourth proportional to 476.78, 715.19 and 152.15 is: 228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.78 : 715.19 = 152.15 : x
  2. Step 2: Convert to fraction form
    476.78/715.19 = 152.15/x
  3. Step 3: Cross multiply
    476.78x = 715.19 × 152.15
  4. Step 4: Simplify right side
    476.78x = 108,817.19
  5. Step 5: Solve for x
    x = 108,817.19/476.78
  6. Step 6: Final answer
    x = 228.23

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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.