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Finding the Fourth Proportional to 556.10, 767.44 and 369.66

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Solution

The fourth proportional to 556.10, 767.44 and 369.66 is: 510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.10 : 767.44 = 369.66 : x
  2. Step 2: Convert to fraction form
    556.10/767.44 = 369.66/x
  3. Step 3: Cross multiply
    556.10x = 767.44 × 369.66
  4. Step 4: Simplify right side
    556.10x = 283,695.21
  5. Step 5: Solve for x
    x = 283,695.21/556.10
  6. Step 6: Final answer
    x = 510.15

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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.