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Finding the Fourth Proportional to 555.21, 766.16 and 334.02

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Solution

The fourth proportional to 555.21, 766.16 and 334.02 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.21 : 766.16 = 334.02 : x
  2. Step 2: Convert to fraction form
    555.21/766.16 = 334.02/x
  3. Step 3: Cross multiply
    555.21x = 766.16 × 334.02
  4. Step 4: Simplify right side
    555.21x = 255,911.09
  5. Step 5: Solve for x
    x = 255,911.09/555.21
  6. Step 6: Final answer
    x = 460.93

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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.