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Finding the Fourth Proportional to 477, 715.64 and 203.15

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Solution

The fourth proportional to 477, 715.64 and 203.15 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 715.64 = 203.15 : x
  2. Step 2: Convert to fraction form
    477/715.64 = 203.15/x
  3. Step 3: Cross multiply
    477x = 715.64 × 203.15
  4. Step 4: Simplify right side
    477x = 145,377.67
  5. Step 5: Solve for x
    x = 145,377.67/477
  6. Step 6: Final answer
    x = 304.77

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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.