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Finding the Fourth Proportional to 904.28, 1,356.98 and 417.40

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Solution

The fourth proportional to 904.28, 1,356.98 and 417.40 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.28 : 1,356.98 = 417.40 : x
  2. Step 2: Convert to fraction form
    904.28/1,356.98 = 417.40/x
  3. Step 3: Cross multiply
    904.28x = 1,356.98 × 417.40
  4. Step 4: Simplify right side
    904.28x = 566,403.45
  5. Step 5: Solve for x
    x = 566,403.45/904.28
  6. Step 6: Final answer
    x = 626.36

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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.