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Finding the Fourth Proportional to 469.30, 704.87 and 404.86

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Solution

The fourth proportional to 469.30, 704.87 and 404.86 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.30 : 704.87 = 404.86 : x
  2. Step 2: Convert to fraction form
    469.30/704.87 = 404.86/x
  3. Step 3: Cross multiply
    469.30x = 704.87 × 404.86
  4. Step 4: Simplify right side
    469.30x = 285,368.12
  5. Step 5: Solve for x
    x = 285,368.12/469.30
  6. Step 6: Final answer
    x = 608.08

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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.