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Finding the Fourth Proportional to 423.78, 584.40 and 307.14

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Solution

The fourth proportional to 423.78, 584.40 and 307.14 is: 423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.78 : 584.40 = 307.14 : x
  2. Step 2: Convert to fraction form
    423.78/584.40 = 307.14/x
  3. Step 3: Cross multiply
    423.78x = 584.40 × 307.14
  4. Step 4: Simplify right side
    423.78x = 179,492.62
  5. Step 5: Solve for x
    x = 179,492.62/423.78
  6. Step 6: Final answer
    x = 423.55

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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.