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Finding the Fourth Proportional to 646.08, 891.75 and 413.07

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Solution

The fourth proportional to 646.08, 891.75 and 413.07 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.08 : 891.75 = 413.07 : x
  2. Step 2: Convert to fraction form
    646.08/891.75 = 413.07/x
  3. Step 3: Cross multiply
    646.08x = 891.75 × 413.07
  4. Step 4: Simplify right side
    646.08x = 368,355.17
  5. Step 5: Solve for x
    x = 368,355.17/646.08
  6. Step 6: Final answer
    x = 570.14

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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.