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Finding the Fourth Proportional to 314.64, 433.12 and 259.28

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Solution

The fourth proportional to 314.64, 433.12 and 259.28 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 433.12 = 259.28 : x
  2. Step 2: Convert to fraction form
    314.64/433.12 = 259.28/x
  3. Step 3: Cross multiply
    314.64x = 433.12 × 259.28
  4. Step 4: Simplify right side
    314.64x = 112,299.35
  5. Step 5: Solve for x
    x = 112,299.35/314.64
  6. Step 6: Final answer
    x = 356.91

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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.