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Finding the Fourth Proportional to 645.84, 891.55 and 413.10

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Solution

The fourth proportional to 645.84, 891.55 and 413.10 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 891.55 = 413.10 : x
  2. Step 2: Convert to fraction form
    645.84/891.55 = 413.10/x
  3. Step 3: Cross multiply
    645.84x = 891.55 × 413.10
  4. Step 4: Simplify right side
    645.84x = 368,299.31
  5. Step 5: Solve for x
    x = 368,299.31/645.84
  6. Step 6: Final answer
    x = 570.26

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Why These Related Problems?

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