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Finding the Fourth Proportional to 537.64, 800.99 and 497.54

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Solution

The fourth proportional to 537.64, 800.99 and 497.54 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 800.99 = 497.54 : x
  2. Step 2: Convert to fraction form
    537.64/800.99 = 497.54/x
  3. Step 3: Cross multiply
    537.64x = 800.99 × 497.54
  4. Step 4: Simplify right side
    537.64x = 398,525.95
  5. Step 5: Solve for x
    x = 398,525.95/537.64
  6. Step 6: Final answer
    x = 741.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.