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Finding the Fourth Proportional to 456.48, 683.28 and 365.36

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Solution

The fourth proportional to 456.48, 683.28 and 365.36 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 683.28 = 365.36 : x
  2. Step 2: Convert to fraction form
    456.48/683.28 = 365.36/x
  3. Step 3: Cross multiply
    456.48x = 683.28 × 365.36
  4. Step 4: Simplify right side
    456.48x = 249,643.18
  5. Step 5: Solve for x
    x = 249,643.18/456.48
  6. Step 6: Final answer
    x = 546.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.