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Finding the Fourth Proportional to 732.25, 1,010.52 and 433.51

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Solution

The fourth proportional to 732.25, 1,010.52 and 433.51 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.25 : 1,010.52 = 433.51 : x
  2. Step 2: Convert to fraction form
    732.25/1,010.52 = 433.51/x
  3. Step 3: Cross multiply
    732.25x = 1,010.52 × 433.51
  4. Step 4: Simplify right side
    732.25x = 438,068.00
  5. Step 5: Solve for x
    x = 438,068.00/732.25
  6. Step 6: Final answer
    x = 598.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.