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Finding the Fourth Proportional to 897.98, 1,346.71 and 350.04

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Solution

The fourth proportional to 897.98, 1,346.71 and 350.04 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.98 : 1,346.71 = 350.04 : x
  2. Step 2: Convert to fraction form
    897.98/1,346.71 = 350.04/x
  3. Step 3: Cross multiply
    897.98x = 1,346.71 × 350.04
  4. Step 4: Simplify right side
    897.98x = 471,402.37
  5. Step 5: Solve for x
    x = 471,402.37/897.98
  6. Step 6: Final answer
    x = 524.96

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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.