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Finding the Fourth Proportional to 314.16, 470.40 and 256.32

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Solution

The fourth proportional to 314.16, 470.40 and 256.32 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 470.40 = 256.32 : x
  2. Step 2: Convert to fraction form
    314.16/470.40 = 256.32/x
  3. Step 3: Cross multiply
    314.16x = 470.40 × 256.32
  4. Step 4: Simplify right side
    314.16x = 120,572.93
  5. Step 5: Solve for x
    x = 120,572.93/314.16
  6. Step 6: Final answer
    x = 383.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.