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Finding the Fourth Proportional to 904.12, 1,356.14 and 417.15

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Solution

The fourth proportional to 904.12, 1,356.14 and 417.15 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.12 : 1,356.14 = 417.15 : x
  2. Step 2: Convert to fraction form
    904.12/1,356.14 = 417.15/x
  3. Step 3: Cross multiply
    904.12x = 1,356.14 × 417.15
  4. Step 4: Simplify right side
    904.12x = 565,714.84
  5. Step 5: Solve for x
    x = 565,714.84/904.12
  6. Step 6: Final answer
    x = 625.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.