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Finding the Fourth Proportional to 501.34, 752.56 and 364.46

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Solution

The fourth proportional to 501.34, 752.56 and 364.46 is: 547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.34 : 752.56 = 364.46 : x
  2. Step 2: Convert to fraction form
    501.34/752.56 = 364.46/x
  3. Step 3: Cross multiply
    501.34x = 752.56 × 364.46
  4. Step 4: Simplify right side
    501.34x = 274,278.02
  5. Step 5: Solve for x
    x = 274,278.02/501.34
  6. Step 6: Final answer
    x = 547.09

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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.