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Finding the Fourth Proportional to 312.02, 465.84 and 275.10

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Solution

The fourth proportional to 312.02, 465.84 and 275.10 is: 410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 465.84 = 275.10 : x
  2. Step 2: Convert to fraction form
    312.02/465.84 = 275.10/x
  3. Step 3: Cross multiply
    312.02x = 465.84 × 275.10
  4. Step 4: Simplify right side
    312.02x = 128,152.58
  5. Step 5: Solve for x
    x = 128,152.58/312.02
  6. Step 6: Final answer
    x = 410.73

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Why These Related Problems?

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