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Finding the Fourth Proportional to 555.08, 765.81 and 345.13

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Solution

The fourth proportional to 555.08, 765.81 and 345.13 is: 476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.08 : 765.81 = 345.13 : x
  2. Step 2: Convert to fraction form
    555.08/765.81 = 345.13/x
  3. Step 3: Cross multiply
    555.08x = 765.81 × 345.13
  4. Step 4: Simplify right side
    555.08x = 264,302.09
  5. Step 5: Solve for x
    x = 264,302.09/555.08
  6. Step 6: Final answer
    x = 476.16

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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.