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Finding the Fourth Proportional to 315.10, 437.75 and 312.10

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Solution

The fourth proportional to 315.10, 437.75 and 312.10 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 437.75 = 312.10 : x
  2. Step 2: Convert to fraction form
    315.10/437.75 = 312.10/x
  3. Step 3: Cross multiply
    315.10x = 437.75 × 312.10
  4. Step 4: Simplify right side
    315.10x = 136,621.78
  5. Step 5: Solve for x
    x = 136,621.78/315.10
  6. Step 6: Final answer
    x = 433.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.