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Finding the Fourth Proportional to 566.75, 783.09 and 468.34

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Solution

The fourth proportional to 566.75, 783.09 and 468.34 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 783.09 = 468.34 : x
  2. Step 2: Convert to fraction form
    566.75/783.09 = 468.34/x
  3. Step 3: Cross multiply
    566.75x = 783.09 × 468.34
  4. Step 4: Simplify right side
    566.75x = 366,752.37
  5. Step 5: Solve for x
    x = 366,752.37/566.75
  6. Step 6: Final answer
    x = 647.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.