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Finding the Fourth Proportional to 469.22, 704.28 and 358.50

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Solution

The fourth proportional to 469.22, 704.28 and 358.50 is: 538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.22 : 704.28 = 358.50 : x
  2. Step 2: Convert to fraction form
    469.22/704.28 = 358.50/x
  3. Step 3: Cross multiply
    469.22x = 704.28 × 358.50
  4. Step 4: Simplify right side
    469.22x = 252,484.38
  5. Step 5: Solve for x
    x = 252,484.38/469.22
  6. Step 6: Final answer
    x = 538.09

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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.