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Finding the Fourth Proportional to 897.14, 1,345.61 and 312.05

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Solution

The fourth proportional to 897.14, 1,345.61 and 312.05 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.14 : 1,345.61 = 312.05 : x
  2. Step 2: Convert to fraction form
    897.14/1,345.61 = 312.05/x
  3. Step 3: Cross multiply
    897.14x = 1,345.61 × 312.05
  4. Step 4: Simplify right side
    897.14x = 419,891.65
  5. Step 5: Solve for x
    x = 419,891.65/897.14
  6. Step 6: Final answer
    x = 468.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.