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Finding the Fourth Proportional to 469.78, 704.74 and 145.17

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Solution

The fourth proportional to 469.78, 704.74 and 145.17 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.78 : 704.74 = 145.17 : x
  2. Step 2: Convert to fraction form
    469.78/704.74 = 145.17/x
  3. Step 3: Cross multiply
    469.78x = 704.74 × 145.17
  4. Step 4: Simplify right side
    469.78x = 102,307.93
  5. Step 5: Solve for x
    x = 102,307.93/469.78
  6. Step 6: Final answer
    x = 217.78

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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.