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Finding the Fourth Proportional to 537.02, 740.94 and 315.89

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Solution

The fourth proportional to 537.02, 740.94 and 315.89 is: 435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.02 : 740.94 = 315.89 : x
  2. Step 2: Convert to fraction form
    537.02/740.94 = 315.89/x
  3. Step 3: Cross multiply
    537.02x = 740.94 × 315.89
  4. Step 4: Simplify right side
    537.02x = 234,055.54
  5. Step 5: Solve for x
    x = 234,055.54/537.02
  6. Step 6: Final answer
    x = 435.84

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