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Finding the Fourth Proportional to 501.48, 753.30 and 309.24

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Solution

The fourth proportional to 501.48, 753.30 and 309.24 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 753.30 = 309.24 : x
  2. Step 2: Convert to fraction form
    501.48/753.30 = 309.24/x
  3. Step 3: Cross multiply
    501.48x = 753.30 × 309.24
  4. Step 4: Simplify right side
    501.48x = 232,950.49
  5. Step 5: Solve for x
    x = 232,950.49/501.48
  6. Step 6: Final answer
    x = 464.53

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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.