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Finding the Fourth Proportional to 469.22, 647.56 and 259.42

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Solution

The fourth proportional to 469.22, 647.56 and 259.42 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.22 : 647.56 = 259.42 : x
  2. Step 2: Convert to fraction form
    469.22/647.56 = 259.42/x
  3. Step 3: Cross multiply
    469.22x = 647.56 × 259.42
  4. Step 4: Simplify right side
    469.22x = 167,990.02
  5. Step 5: Solve for x
    x = 167,990.02/469.22
  6. Step 6: Final answer
    x = 358.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.