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Finding the Fourth Proportional to 501.48, 756.33 and 496.02

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Solution

The fourth proportional to 501.48, 756.33 and 496.02 is: 748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 756.33 = 496.02 : x
  2. Step 2: Convert to fraction form
    501.48/756.33 = 496.02/x
  3. Step 3: Cross multiply
    501.48x = 756.33 × 496.02
  4. Step 4: Simplify right side
    501.48x = 375,154.81
  5. Step 5: Solve for x
    x = 375,154.81/501.48
  6. Step 6: Final answer
    x = 748.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.