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Finding the Fourth Proportional to 477.28, 715.75 and 245.94

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Solution

The fourth proportional to 477.28, 715.75 and 245.94 is: 368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 715.75 = 245.94 : x
  2. Step 2: Convert to fraction form
    477.28/715.75 = 245.94/x
  3. Step 3: Cross multiply
    477.28x = 715.75 × 245.94
  4. Step 4: Simplify right side
    477.28x = 176,031.56
  5. Step 5: Solve for x
    x = 176,031.56/477.28
  6. Step 6: Final answer
    x = 368.82

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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.