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Finding the Fourth Proportional to 469.15, 647.45 and 259.36

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Solution

The fourth proportional to 469.15, 647.45 and 259.36 is: 357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.15 : 647.45 = 259.36 : x
  2. Step 2: Convert to fraction form
    469.15/647.45 = 259.36/x
  3. Step 3: Cross multiply
    469.15x = 647.45 × 259.36
  4. Step 4: Simplify right side
    469.15x = 167,922.14
  5. Step 5: Solve for x
    x = 167,922.14/469.15
  6. Step 6: Final answer
    x = 357.93

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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.