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Finding the Fourth Proportional to 555.66, 766.06 and 369.16

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Solution

The fourth proportional to 555.66, 766.06 and 369.16 is: 508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.66 : 766.06 = 369.16 : x
  2. Step 2: Convert to fraction form
    555.66/766.06 = 369.16/x
  3. Step 3: Cross multiply
    555.66x = 766.06 × 369.16
  4. Step 4: Simplify right side
    555.66x = 282,795.87
  5. Step 5: Solve for x
    x = 282,795.87/555.66
  6. Step 6: Final answer
    x = 508.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.