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Finding the Fourth Proportional to 655.68, 903.84 and 567.36

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Solution

The fourth proportional to 655.68, 903.84 and 567.36 is: 782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.68 : 903.84 = 567.36 : x
  2. Step 2: Convert to fraction form
    655.68/903.84 = 567.36/x
  3. Step 3: Cross multiply
    655.68x = 903.84 × 567.36
  4. Step 4: Simplify right side
    655.68x = 512,802.66
  5. Step 5: Solve for x
    x = 512,802.66/655.68
  6. Step 6: Final answer
    x = 782.09

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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.