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Finding the Fourth Proportional to 610.58, 841.77 and 511.11

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Solution

The fourth proportional to 610.58, 841.77 and 511.11 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 841.77 = 511.11 : x
  2. Step 2: Convert to fraction form
    610.58/841.77 = 511.11/x
  3. Step 3: Cross multiply
    610.58x = 841.77 × 511.11
  4. Step 4: Simplify right side
    610.58x = 430,237.06
  5. Step 5: Solve for x
    x = 430,237.06/610.58
  6. Step 6: Final answer
    x = 704.64

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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.