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Finding the Fourth Proportional to 554.72, 765.95 and 345.20

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Solution

The fourth proportional to 554.72, 765.95 and 345.20 is: 476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.72 : 765.95 = 345.20 : x
  2. Step 2: Convert to fraction form
    554.72/765.95 = 345.20/x
  3. Step 3: Cross multiply
    554.72x = 765.95 × 345.20
  4. Step 4: Simplify right side
    554.72x = 264,406.13
  5. Step 5: Solve for x
    x = 264,406.13/554.72
  6. Step 6: Final answer
    x = 476.65

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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.