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Finding the Fourth Proportional to 469.76, 704.64 and 145.14

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Solution

The fourth proportional to 469.76, 704.64 and 145.14 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 704.64 = 145.14 : x
  2. Step 2: Convert to fraction form
    469.76/704.64 = 145.14/x
  3. Step 3: Cross multiply
    469.76x = 704.64 × 145.14
  4. Step 4: Simplify right side
    469.76x = 102,271.45
  5. Step 5: Solve for x
    x = 102,271.45/469.76
  6. Step 6: Final answer
    x = 217.71

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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.