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Finding the Fourth Proportional to 566.94, 781.98 and 435.72

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Solution

The fourth proportional to 566.94, 781.98 and 435.72 is: 600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.94 : 781.98 = 435.72 : x
  2. Step 2: Convert to fraction form
    566.94/781.98 = 435.72/x
  3. Step 3: Cross multiply
    566.94x = 781.98 × 435.72
  4. Step 4: Simplify right side
    566.94x = 340,724.33
  5. Step 5: Solve for x
    x = 340,724.33/566.94
  6. Step 6: Final answer
    x = 600.99

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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.