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Finding the Fourth Proportional to 904.10, 1,356.37 and 417.49

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Solution

The fourth proportional to 904.10, 1,356.37 and 417.49 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.10 : 1,356.37 = 417.49 : x
  2. Step 2: Convert to fraction form
    904.10/1,356.37 = 417.49/x
  3. Step 3: Cross multiply
    904.10x = 1,356.37 × 417.49
  4. Step 4: Simplify right side
    904.10x = 566,264.13
  5. Step 5: Solve for x
    x = 566,264.13/904.10
  6. Step 6: Final answer
    x = 626.33

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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.