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Finding the Fourth Proportional to 556.54, 765.58 and 534.06

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Solution

The fourth proportional to 556.54, 765.58 and 534.06 is: 734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.54 : 765.58 = 534.06 : x
  2. Step 2: Convert to fraction form
    556.54/765.58 = 534.06/x
  3. Step 3: Cross multiply
    556.54x = 765.58 × 534.06
  4. Step 4: Simplify right side
    556.54x = 408,865.65
  5. Step 5: Solve for x
    x = 408,865.65/556.54
  6. Step 6: Final answer
    x = 734.66

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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.