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Finding the Fourth Proportional to 677.02, 933.82 and 415.18

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Solution

The fourth proportional to 677.02, 933.82 and 415.18 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.02 : 933.82 = 415.18 : x
  2. Step 2: Convert to fraction form
    677.02/933.82 = 415.18/x
  3. Step 3: Cross multiply
    677.02x = 933.82 × 415.18
  4. Step 4: Simplify right side
    677.02x = 387,703.39
  5. Step 5: Solve for x
    x = 387,703.39/677.02
  6. Step 6: Final answer
    x = 572.66

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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.