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Finding the Fourth Proportional to 897.39, 1,345.64 and 349.73

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Solution

The fourth proportional to 897.39, 1,345.64 and 349.73 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.39 : 1,345.64 = 349.73 : x
  2. Step 2: Convert to fraction form
    897.39/1,345.64 = 349.73/x
  3. Step 3: Cross multiply
    897.39x = 1,345.64 × 349.73
  4. Step 4: Simplify right side
    897.39x = 470,602.20
  5. Step 5: Solve for x
    x = 470,602.20/897.39
  6. Step 6: Final answer
    x = 524.41

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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.