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Finding the Fourth Proportional to 375.84, 563.52 and 375.36

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Solution

The fourth proportional to 375.84, 563.52 and 375.36 is: 562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 563.52 = 375.36 : x
  2. Step 2: Convert to fraction form
    375.84/563.52 = 375.36/x
  3. Step 3: Cross multiply
    375.84x = 563.52 × 375.36
  4. Step 4: Simplify right side
    375.84x = 211,522.87
  5. Step 5: Solve for x
    x = 211,522.87/375.84
  6. Step 6: Final answer
    x = 562.80

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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.