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Finding the Fourth Proportional to 469.65, 704.78 and 253.38

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Solution

The fourth proportional to 469.65, 704.78 and 253.38 is: 380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.65 : 704.78 = 253.38 : x
  2. Step 2: Convert to fraction form
    469.65/704.78 = 253.38/x
  3. Step 3: Cross multiply
    469.65x = 704.78 × 253.38
  4. Step 4: Simplify right side
    469.65x = 178,577.16
  5. Step 5: Solve for x
    x = 178,577.16/469.65
  6. Step 6: Final answer
    x = 380.23

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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.