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Finding the Fourth Proportional to 314.60, 471.88 and 253.40

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Solution

The fourth proportional to 314.60, 471.88 and 253.40 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 471.88 = 253.40 : x
  2. Step 2: Convert to fraction form
    314.60/471.88 = 253.40/x
  3. Step 3: Cross multiply
    314.60x = 471.88 × 253.40
  4. Step 4: Simplify right side
    314.60x = 119,574.39
  5. Step 5: Solve for x
    x = 119,574.39/314.60
  6. Step 6: Final answer
    x = 380.08

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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.