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Finding the Fourth Proportional to 537.02, 740.78 and 315.93

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Solution

The fourth proportional to 537.02, 740.78 and 315.93 is: 435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.02 : 740.78 = 315.93 : x
  2. Step 2: Convert to fraction form
    537.02/740.78 = 315.93/x
  3. Step 3: Cross multiply
    537.02x = 740.78 × 315.93
  4. Step 4: Simplify right side
    537.02x = 234,034.63
  5. Step 5: Solve for x
    x = 234,034.63/537.02
  6. Step 6: Final answer
    x = 435.80

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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.