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Finding the Fourth Proportional to 904.49, 1,356.60 and 319.46

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Solution

The fourth proportional to 904.49, 1,356.60 and 319.46 is: 479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.49 : 1,356.60 = 319.46 : x
  2. Step 2: Convert to fraction form
    904.49/1,356.60 = 319.46/x
  3. Step 3: Cross multiply
    904.49x = 1,356.60 × 319.46
  4. Step 4: Simplify right side
    904.49x = 433,372.65
  5. Step 5: Solve for x
    x = 433,372.65/904.49
  6. Step 6: Final answer
    x = 479.14

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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.