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Finding the Fourth Proportional to 314.89, 470.00 and 278.44

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Solution

The fourth proportional to 314.89, 470.00 and 278.44 is: 415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.89 : 470.00 = 278.44 : x
  2. Step 2: Convert to fraction form
    314.89/470.00 = 278.44/x
  3. Step 3: Cross multiply
    314.89x = 470.00 × 278.44
  4. Step 4: Simplify right side
    314.89x = 130,866.32
  5. Step 5: Solve for x
    x = 130,866.32/314.89
  6. Step 6: Final answer
    x = 415.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.