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Finding the Fourth Proportional to 501.94, 751.84 and 378.84

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Solution

The fourth proportional to 501.94, 751.84 and 378.84 is: 567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.94 : 751.84 = 378.84 : x
  2. Step 2: Convert to fraction form
    501.94/751.84 = 378.84/x
  3. Step 3: Cross multiply
    501.94x = 751.84 × 378.84
  4. Step 4: Simplify right side
    501.94x = 284,827.07
  5. Step 5: Solve for x
    x = 284,827.07/501.94
  6. Step 6: Final answer
    x = 567.45

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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.