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Finding the Fourth Proportional to 635.06, 875.58 and 413.92

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Solution

The fourth proportional to 635.06, 875.58 and 413.92 is: 570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.06 : 875.58 = 413.92 : x
  2. Step 2: Convert to fraction form
    635.06/875.58 = 413.92/x
  3. Step 3: Cross multiply
    635.06x = 875.58 × 413.92
  4. Step 4: Simplify right side
    635.06x = 362,420.07
  5. Step 5: Solve for x
    x = 362,420.07/635.06
  6. Step 6: Final answer
    x = 570.69

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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.