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Finding the Fourth Proportional to 647.15, 970.52 and 236.16

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Solution

The fourth proportional to 647.15, 970.52 and 236.16 is: 354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.15 : 970.52 = 236.16 : x
  2. Step 2: Convert to fraction form
    647.15/970.52 = 236.16/x
  3. Step 3: Cross multiply
    647.15x = 970.52 × 236.16
  4. Step 4: Simplify right side
    647.15x = 229,196.82
  5. Step 5: Solve for x
    x = 229,196.82/647.15
  6. Step 6: Final answer
    x = 354.17

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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.