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Finding the Fourth Proportional to 315, 434.16 and 259.56

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Solution

The fourth proportional to 315, 434.16 and 259.56 is: 357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 434.16 = 259.56 : x
  2. Step 2: Convert to fraction form
    315/434.16 = 259.56/x
  3. Step 3: Cross multiply
    315x = 434.16 × 259.56
  4. Step 4: Simplify right side
    315x = 112,690.57
  5. Step 5: Solve for x
    x = 112,690.57/315
  6. Step 6: Final answer
    x = 357.75

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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.