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Finding the Fourth Proportional to 904.77, 1,356.62 and 417.42

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Solution

The fourth proportional to 904.77, 1,356.62 and 417.42 is: 625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.77 : 1,356.62 = 417.42 : x
  2. Step 2: Convert to fraction form
    904.77/1,356.62 = 417.42/x
  3. Step 3: Cross multiply
    904.77x = 1,356.62 × 417.42
  4. Step 4: Simplify right side
    904.77x = 566,278.23
  5. Step 5: Solve for x
    x = 566,278.23/904.77
  6. Step 6: Final answer
    x = 625.88

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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.