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Finding the Fourth Proportional to 647.16, 970.68 and 322.74

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Solution

The fourth proportional to 647.16, 970.68 and 322.74 is: 484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.16 : 970.68 = 322.74 : x
  2. Step 2: Convert to fraction form
    647.16/970.68 = 322.74/x
  3. Step 3: Cross multiply
    647.16x = 970.68 × 322.74
  4. Step 4: Simplify right side
    647.16x = 313,277.26
  5. Step 5: Solve for x
    x = 313,277.26/647.16
  6. Step 6: Final answer
    x = 484.08

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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.