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Finding the Fourth Proportional to 653.73, 902.51 and 433.20

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Solution

The fourth proportional to 653.73, 902.51 and 433.20 is: 598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.73 : 902.51 = 433.20 : x
  2. Step 2: Convert to fraction form
    653.73/902.51 = 433.20/x
  3. Step 3: Cross multiply
    653.73x = 902.51 × 433.20
  4. Step 4: Simplify right side
    653.73x = 390,967.33
  5. Step 5: Solve for x
    x = 390,967.33/653.73
  6. Step 6: Final answer
    x = 598.06

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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.