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Finding the Fourth Proportional to 904.80, 1,357.16 and 418.24

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Solution

The fourth proportional to 904.80, 1,357.16 and 418.24 is: 627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.80 : 1,357.16 = 418.24 : x
  2. Step 2: Convert to fraction form
    904.80/1,357.16 = 418.24/x
  3. Step 3: Cross multiply
    904.80x = 1,357.16 × 418.24
  4. Step 4: Simplify right side
    904.80x = 567,618.60
  5. Step 5: Solve for x
    x = 567,618.60/904.80
  6. Step 6: Final answer
    x = 627.34

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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.