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Finding the Fourth Proportional to 469.01, 647.25 and 259.20

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Solution

The fourth proportional to 469.01, 647.25 and 259.20 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.01 : 647.25 = 259.20 : x
  2. Step 2: Convert to fraction form
    469.01/647.25 = 259.20/x
  3. Step 3: Cross multiply
    469.01x = 647.25 × 259.20
  4. Step 4: Simplify right side
    469.01x = 167,765.90
  5. Step 5: Solve for x
    x = 167,765.90/469.01
  6. Step 6: Final answer
    x = 357.70

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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.