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Finding the Fourth Proportional to 477.10, 715.56 and 203.05

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Solution

The fourth proportional to 477.10, 715.56 and 203.05 is: 304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.10 : 715.56 = 203.05 : x
  2. Step 2: Convert to fraction form
    477.10/715.56 = 203.05/x
  3. Step 3: Cross multiply
    477.10x = 715.56 × 203.05
  4. Step 4: Simplify right side
    477.10x = 145,294.46
  5. Step 5: Solve for x
    x = 145,294.46/477.10
  6. Step 6: Final answer
    x = 304.54

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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.