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Finding the Fourth Proportional to 501.33, 752.55 and 296.28

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Solution

The fourth proportional to 501.33, 752.55 and 296.28 is: 444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.33 : 752.55 = 296.28 : x
  2. Step 2: Convert to fraction form
    501.33/752.55 = 296.28/x
  3. Step 3: Cross multiply
    501.33x = 752.55 × 296.28
  4. Step 4: Simplify right side
    501.33x = 222,965.51
  5. Step 5: Solve for x
    x = 222,965.51/501.33
  6. Step 6: Final answer
    x = 444.75

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Why These Related Problems?

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