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Finding the Fourth Proportional to 315.53, 435.65 and 237.02

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Solution

The fourth proportional to 315.53, 435.65 and 237.02 is: 327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.53 : 435.65 = 237.02 : x
  2. Step 2: Convert to fraction form
    315.53/435.65 = 237.02/x
  3. Step 3: Cross multiply
    315.53x = 435.65 × 237.02
  4. Step 4: Simplify right side
    315.53x = 103,254.40
  5. Step 5: Solve for x
    x = 103,254.40/315.53
  6. Step 6: Final answer
    x = 327.25

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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.