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Finding the Fourth Proportional to 904.56, 1,357.38 and 417.84

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Solution

The fourth proportional to 904.56, 1,357.38 and 417.84 is: 627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.56 : 1,357.38 = 417.84 : x
  2. Step 2: Convert to fraction form
    904.56/1,357.38 = 417.84/x
  3. Step 3: Cross multiply
    904.56x = 1,357.38 × 417.84
  4. Step 4: Simplify right side
    904.56x = 567,167.66
  5. Step 5: Solve for x
    x = 567,167.66/904.56
  6. Step 6: Final answer
    x = 627.01

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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.