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Finding the Fourth Proportional to 904.38, 1,357.58 and 417.41

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Solution

The fourth proportional to 904.38, 1,357.58 and 417.41 is: 626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.38 : 1,357.58 = 417.41 : x
  2. Step 2: Convert to fraction form
    904.38/1,357.58 = 417.41/x
  3. Step 3: Cross multiply
    904.38x = 1,357.58 × 417.41
  4. Step 4: Simplify right side
    904.38x = 566,667.47
  5. Step 5: Solve for x
    x = 566,667.47/904.38
  6. Step 6: Final answer
    x = 626.58

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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.