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Finding the Fourth Proportional to 664.36, 916.50 and 567.16

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Solution

The fourth proportional to 664.36, 916.50 and 567.16 is: 782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.36 : 916.50 = 567.16 : x
  2. Step 2: Convert to fraction form
    664.36/916.50 = 567.16/x
  3. Step 3: Cross multiply
    664.36x = 916.50 × 567.16
  4. Step 4: Simplify right side
    664.36x = 519,802.14
  5. Step 5: Solve for x
    x = 519,802.14/664.36
  6. Step 6: Final answer
    x = 782.41

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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.