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Finding the Fourth Proportional to 566.37, 780.93 and 461.07

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Solution

The fourth proportional to 566.37, 780.93 and 461.07 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 780.93 = 461.07 : x
  2. Step 2: Convert to fraction form
    566.37/780.93 = 461.07/x
  3. Step 3: Cross multiply
    566.37x = 780.93 × 461.07
  4. Step 4: Simplify right side
    566.37x = 360,063.40
  5. Step 5: Solve for x
    x = 360,063.40/566.37
  6. Step 6: Final answer
    x = 635.74

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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.