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Finding the Fourth Proportional to 476.87, 715.19 and 203.16

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Solution

The fourth proportional to 476.87, 715.19 and 203.16 is: 304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.87 : 715.19 = 203.16 : x
  2. Step 2: Convert to fraction form
    476.87/715.19 = 203.16/x
  3. Step 3: Cross multiply
    476.87x = 715.19 × 203.16
  4. Step 4: Simplify right side
    476.87x = 145,296.98
  5. Step 5: Solve for x
    x = 145,296.98/476.87
  6. Step 6: Final answer
    x = 304.69

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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.