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Finding the Fourth Proportional to 390.32, 538 and 307.28

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Solution

The fourth proportional to 390.32, 538 and 307.28 is: 423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.32 : 538 = 307.28 : x
  2. Step 2: Convert to fraction form
    390.32/538 = 307.28/x
  3. Step 3: Cross multiply
    390.32x = 538 × 307.28
  4. Step 4: Simplify right side
    390.32x = 165,316.64
  5. Step 5: Solve for x
    x = 165,316.64/390.32
  6. Step 6: Final answer
    x = 423.54

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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.