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Finding the Fourth Proportional to 469.81, 648.33 and 259.98

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Solution

The fourth proportional to 469.81, 648.33 and 259.98 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.81 : 648.33 = 259.98 : x
  2. Step 2: Convert to fraction form
    469.81/648.33 = 259.98/x
  3. Step 3: Cross multiply
    469.81x = 648.33 × 259.98
  4. Step 4: Simplify right side
    469.81x = 168,552.83
  5. Step 5: Solve for x
    x = 168,552.83/469.81
  6. Step 6: Final answer
    x = 358.77

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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.