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Finding the Fourth Proportional to 555.00, 766.16 and 345.47

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Solution

The fourth proportional to 555.00, 766.16 and 345.47 is: 476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.00 : 766.16 = 345.47 : x
  2. Step 2: Convert to fraction form
    555.00/766.16 = 345.47/x
  3. Step 3: Cross multiply
    555.00x = 766.16 × 345.47
  4. Step 4: Simplify right side
    555.00x = 264,681.03
  5. Step 5: Solve for x
    x = 264,681.03/555.00
  6. Step 6: Final answer
    x = 476.90

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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.