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Finding the Fourth Proportional to 428.79, 647.02 and 413.53

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Solution

The fourth proportional to 428.79, 647.02 and 413.53 is: 623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.79 : 647.02 = 413.53 : x
  2. Step 2: Convert to fraction form
    428.79/647.02 = 413.53/x
  3. Step 3: Cross multiply
    428.79x = 647.02 × 413.53
  4. Step 4: Simplify right side
    428.79x = 267,562.18
  5. Step 5: Solve for x
    x = 267,562.18/428.79
  6. Step 6: Final answer
    x = 623.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.