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Finding the Fourth Proportional to 556.61, 768.35 and 402.17

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Solution

The fourth proportional to 556.61, 768.35 and 402.17 is: 555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 768.35 = 402.17 : x
  2. Step 2: Convert to fraction form
    556.61/768.35 = 402.17/x
  3. Step 3: Cross multiply
    556.61x = 768.35 × 402.17
  4. Step 4: Simplify right side
    556.61x = 309,004.48
  5. Step 5: Solve for x
    x = 309,004.48/556.61
  6. Step 6: Final answer
    x = 555.16

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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.