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Finding the Fourth Proportional to 897.98, 1,346.72 and 312.84

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Solution

The fourth proportional to 897.98, 1,346.72 and 312.84 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.98 : 1,346.72 = 312.84 : x
  2. Step 2: Convert to fraction form
    897.98/1,346.72 = 312.84/x
  3. Step 3: Cross multiply
    897.98x = 1,346.72 × 312.84
  4. Step 4: Simplify right side
    897.98x = 421,306.32
  5. Step 5: Solve for x
    x = 421,306.32/897.98
  6. Step 6: Final answer
    x = 469.17

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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.