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Finding the Fourth Proportional to 469.19, 647.51 and 259.43

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Solution

The fourth proportional to 469.19, 647.51 and 259.43 is: 358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.19 : 647.51 = 259.43 : x
  2. Step 2: Convert to fraction form
    469.19/647.51 = 259.43/x
  3. Step 3: Cross multiply
    469.19x = 647.51 × 259.43
  4. Step 4: Simplify right side
    469.19x = 167,983.73
  5. Step 5: Solve for x
    x = 167,983.73/469.19
  6. Step 6: Final answer
    x = 358.03

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