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Finding the Fourth Proportional to 469.64, 704.55 and 145.06

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Solution

The fourth proportional to 469.64, 704.55 and 145.06 is: 217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.64 : 704.55 = 145.06 : x
  2. Step 2: Convert to fraction form
    469.64/704.55 = 145.06/x
  3. Step 3: Cross multiply
    469.64x = 704.55 × 145.06
  4. Step 4: Simplify right side
    469.64x = 102,200.81
  5. Step 5: Solve for x
    x = 102,200.81/469.64
  6. Step 6: Final answer
    x = 217.61

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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.