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Finding the Fourth Proportional to 904.52, 1,357.50 and 356.96

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Solution

The fourth proportional to 904.52, 1,357.50 and 356.96 is: 535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.52 : 1,357.50 = 356.96 : x
  2. Step 2: Convert to fraction form
    904.52/1,357.50 = 356.96/x
  3. Step 3: Cross multiply
    904.52x = 1,357.50 × 356.96
  4. Step 4: Simplify right side
    904.52x = 484,573.20
  5. Step 5: Solve for x
    x = 484,573.20/904.52
  6. Step 6: Final answer
    x = 535.72

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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.