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Finding the Fourth Proportional to 646.77, 970.17 and 360.03

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Solution

The fourth proportional to 646.77, 970.17 and 360.03 is: 540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 970.17 = 360.03 : x
  2. Step 2: Convert to fraction form
    646.77/970.17 = 360.03/x
  3. Step 3: Cross multiply
    646.77x = 970.17 × 360.03
  4. Step 4: Simplify right side
    646.77x = 349,288.50
  5. Step 5: Solve for x
    x = 349,288.50/646.77
  6. Step 6: Final answer
    x = 540.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.