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Finding the Fourth Proportional to 314.64, 468.56 and 296

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Solution

The fourth proportional to 314.64, 468.56 and 296 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 468.56 = 296 : x
  2. Step 2: Convert to fraction form
    314.64/468.56 = 296/x
  3. Step 3: Cross multiply
    314.64x = 468.56 × 296
  4. Step 4: Simplify right side
    314.64x = 138,692.28
  5. Step 5: Solve for x
    x = 138,692.28/314.64
  6. Step 6: Final answer
    x = 440.80

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