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Finding the Fourth Proportional to 897.68, 1,346.42 and 312.96

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Solution

The fourth proportional to 897.68, 1,346.42 and 312.96 is: 469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.68 : 1,346.42 = 312.96 : x
  2. Step 2: Convert to fraction form
    897.68/1,346.42 = 312.96/x
  3. Step 3: Cross multiply
    897.68x = 1,346.42 × 312.96
  4. Step 4: Simplify right side
    897.68x = 421,381.43
  5. Step 5: Solve for x
    x = 421,381.43/897.68
  6. Step 6: Final answer
    x = 469.41

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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.