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Finding the Fourth Proportional to 904.53, 1,357.29 and 417.57

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Solution

The fourth proportional to 904.53, 1,357.29 and 417.57 is: 626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.53 : 1,357.29 = 417.57 : x
  2. Step 2: Convert to fraction form
    904.53/1,357.29 = 417.57/x
  3. Step 3: Cross multiply
    904.53x = 1,357.29 × 417.57
  4. Step 4: Simplify right side
    904.53x = 566,763.59
  5. Step 5: Solve for x
    x = 566,763.59/904.53
  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.