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Finding the Fourth Proportional to 566.68, 782.98 and 468.36

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Solution

The fourth proportional to 566.68, 782.98 and 468.36 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.68 : 782.98 = 468.36 : x
  2. Step 2: Convert to fraction form
    566.68/782.98 = 468.36/x
  3. Step 3: Cross multiply
    566.68x = 782.98 × 468.36
  4. Step 4: Simplify right side
    566.68x = 366,716.51
  5. Step 5: Solve for x
    x = 366,716.51/566.68
  6. Step 6: Final answer
    x = 647.13

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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.