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Finding the Fourth Proportional to 314, 433.40 and 270.32

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Solution

The fourth proportional to 314, 433.40 and 270.32 is: 373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 433.40 = 270.32 : x
  2. Step 2: Convert to fraction form
    314/433.40 = 270.32/x
  3. Step 3: Cross multiply
    314x = 433.40 × 270.32
  4. Step 4: Simplify right side
    314x = 117,156.69
  5. Step 5: Solve for x
    x = 117,156.69/314
  6. Step 6: Final answer
    x = 373.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.