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Finding the Fourth Proportional to 567.06, 782.79 and 360.06

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Solution

The fourth proportional to 567.06, 782.79 and 360.06 is: 497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.06 : 782.79 = 360.06 : x
  2. Step 2: Convert to fraction form
    567.06/782.79 = 360.06/x
  3. Step 3: Cross multiply
    567.06x = 782.79 × 360.06
  4. Step 4: Simplify right side
    567.06x = 281,851.37
  5. Step 5: Solve for x
    x = 281,851.37/567.06
  6. Step 6: Final answer
    x = 497.04

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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.