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Finding the Fourth Proportional to 904.70, 1,357.14 and 327.50

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Solution

The fourth proportional to 904.70, 1,357.14 and 327.50 is: 491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.70 : 1,357.14 = 327.50 : x
  2. Step 2: Convert to fraction form
    904.70/1,357.14 = 327.50/x
  3. Step 3: Cross multiply
    904.70x = 1,357.14 × 327.50
  4. Step 4: Simplify right side
    904.70x = 444,463.35
  5. Step 5: Solve for x
    x = 444,463.35/904.70
  6. Step 6: Final answer
    x = 491.28

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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.