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Finding the Fourth Proportional to 898.08, 1,346.64 and 349.86

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Solution

The fourth proportional to 898.08, 1,346.64 and 349.86 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.08 : 1,346.64 = 349.86 : x
  2. Step 2: Convert to fraction form
    898.08/1,346.64 = 349.86/x
  3. Step 3: Cross multiply
    898.08x = 1,346.64 × 349.86
  4. Step 4: Simplify right side
    898.08x = 471,135.47
  5. Step 5: Solve for x
    x = 471,135.47/898.08
  6. Step 6: Final answer
    x = 524.60

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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.