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Finding the Fourth Proportional to 566.13, 847.93 and 435.16

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Solution

The fourth proportional to 566.13, 847.93 and 435.16 is: 651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.13 : 847.93 = 435.16 : x
  2. Step 2: Convert to fraction form
    566.13/847.93 = 435.16/x
  3. Step 3: Cross multiply
    566.13x = 847.93 × 435.16
  4. Step 4: Simplify right side
    566.13x = 368,986.82
  5. Step 5: Solve for x
    x = 368,986.82/566.13
  6. Step 6: Final answer
    x = 651.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.