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Finding the Fourth Proportional to 675.12, 931.68 and 413.04

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Solution

The fourth proportional to 675.12, 931.68 and 413.04 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.12 : 931.68 = 413.04 : x
  2. Step 2: Convert to fraction form
    675.12/931.68 = 413.04/x
  3. Step 3: Cross multiply
    675.12x = 931.68 × 413.04
  4. Step 4: Simplify right side
    675.12x = 384,821.11
  5. Step 5: Solve for x
    x = 384,821.11/675.12
  6. Step 6: Final answer
    x = 570.00

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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.