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Finding the Fourth Proportional to 430.52, 642.65 and 370.04

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Solution

The fourth proportional to 430.52, 642.65 and 370.04 is: 552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.52 : 642.65 = 370.04 : x
  2. Step 2: Convert to fraction form
    430.52/642.65 = 370.04/x
  3. Step 3: Cross multiply
    430.52x = 642.65 × 370.04
  4. Step 4: Simplify right side
    430.52x = 237,806.21
  5. Step 5: Solve for x
    x = 237,806.21/430.52
  6. Step 6: Final answer
    x = 552.37

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