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Finding the Fourth Proportional to 375.60, 560.28 and 360.24

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Solution

The fourth proportional to 375.60, 560.28 and 360.24 is: 537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 560.28 = 360.24 : x
  2. Step 2: Convert to fraction form
    375.60/560.28 = 360.24/x
  3. Step 3: Cross multiply
    375.60x = 560.28 × 360.24
  4. Step 4: Simplify right side
    375.60x = 201,835.27
  5. Step 5: Solve for x
    x = 201,835.27/375.60
  6. Step 6: Final answer
    x = 537.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.