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Finding the Fourth Proportional to 420.79, 578.94 and 370.78

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Solution

The fourth proportional to 420.79, 578.94 and 370.78 is: 510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.79 : 578.94 = 370.78 : x
  2. Step 2: Convert to fraction form
    420.79/578.94 = 370.78/x
  3. Step 3: Cross multiply
    420.79x = 578.94 × 370.78
  4. Step 4: Simplify right side
    420.79x = 214,659.37
  5. Step 5: Solve for x
    x = 214,659.37/420.79
  6. Step 6: Final answer
    x = 510.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.