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Finding the Fourth Proportional to 567.09, 782.87 and 368.01

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Solution

The fourth proportional to 567.09, 782.87 and 368.01 is: 508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.09 : 782.87 = 368.01 : x
  2. Step 2: Convert to fraction form
    567.09/782.87 = 368.01/x
  3. Step 3: Cross multiply
    567.09x = 782.87 × 368.01
  4. Step 4: Simplify right side
    567.09x = 288,102.15
  5. Step 5: Solve for x
    x = 288,102.15/567.09
  6. Step 6: Final answer
    x = 508.04

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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.