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Finding the Fourth Proportional to 675.02, 931.06 and 413.16

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Solution

The fourth proportional to 675.02, 931.06 and 413.16 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.02 : 931.06 = 413.16 : x
  2. Step 2: Convert to fraction form
    675.02/931.06 = 413.16/x
  3. Step 3: Cross multiply
    675.02x = 931.06 × 413.16
  4. Step 4: Simplify right side
    675.02x = 384,676.75
  5. Step 5: Solve for x
    x = 384,676.75/675.02
  6. Step 6: Final answer
    x = 569.87

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