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Finding the Fourth Proportional to 897.54, 1,345.37 and 349.71

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Solution

The fourth proportional to 897.54, 1,345.37 and 349.71 is: 524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.54 : 1,345.37 = 349.71 : x
  2. Step 2: Convert to fraction form
    897.54/1,345.37 = 349.71/x
  3. Step 3: Cross multiply
    897.54x = 1,345.37 × 349.71
  4. Step 4: Simplify right side
    897.54x = 470,487.59
  5. Step 5: Solve for x
    x = 470,487.59/897.54
  6. Step 6: Final answer
    x = 524.20

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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.