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Finding the Fourth Proportional to 556.40, 833.75 and 402.17

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Solution

The fourth proportional to 556.40, 833.75 and 402.17 is: 602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.40 : 833.75 = 402.17 : x
  2. Step 2: Convert to fraction form
    556.40/833.75 = 402.17/x
  3. Step 3: Cross multiply
    556.40x = 833.75 × 402.17
  4. Step 4: Simplify right side
    556.40x = 335,309.24
  5. Step 5: Solve for x
    x = 335,309.24/556.40
  6. Step 6: Final answer
    x = 602.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.