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Finding the Fourth Proportional to 559.40, 772.06 and 466.02

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Solution

The fourth proportional to 559.40, 772.06 and 466.02 is: 643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.40 : 772.06 = 466.02 : x
  2. Step 2: Convert to fraction form
    559.40/772.06 = 466.02/x
  3. Step 3: Cross multiply
    559.40x = 772.06 × 466.02
  4. Step 4: Simplify right side
    559.40x = 359,795.40
  5. Step 5: Solve for x
    x = 359,795.40/559.40
  6. Step 6: Final answer
    x = 643.18

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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.