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Finding the Fourth Proportional to 569.12, 857.54 and 468.66

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Solution

The fourth proportional to 569.12, 857.54 and 468.66 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 857.54 = 468.66 : x
  2. Step 2: Convert to fraction form
    569.12/857.54 = 468.66/x
  3. Step 3: Cross multiply
    569.12x = 857.54 × 468.66
  4. Step 4: Simplify right side
    569.12x = 401,894.70
  5. Step 5: Solve for x
    x = 401,894.70/569.12
  6. Step 6: Final answer
    x = 706.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.