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Finding the Fourth Proportional to 897.65, 1,346.36 and 312.55

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Solution

The fourth proportional to 897.65, 1,346.36 and 312.55 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.65 : 1,346.36 = 312.55 : x
  2. Step 2: Convert to fraction form
    897.65/1,346.36 = 312.55/x
  3. Step 3: Cross multiply
    897.65x = 1,346.36 × 312.55
  4. Step 4: Simplify right side
    897.65x = 420,798.09
  5. Step 5: Solve for x
    x = 420,798.09/897.65
  6. Step 6: Final answer
    x = 468.78

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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.