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Finding the Fourth Proportional to 897.69, 1,346.18 and 312.53

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Solution

The fourth proportional to 897.69, 1,346.18 and 312.53 is: 468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.69 : 1,346.18 = 312.53 : x
  2. Step 2: Convert to fraction form
    897.69/1,346.18 = 312.53/x
  3. Step 3: Cross multiply
    897.69x = 1,346.18 × 312.53
  4. Step 4: Simplify right side
    897.69x = 420,713.34
  5. Step 5: Solve for x
    x = 420,713.34/897.69
  6. Step 6: Final answer
    x = 468.66

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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.