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Finding the Fourth Proportional to 647.46, 970.35 and 338.53

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Solution

The fourth proportional to 647.46, 970.35 and 338.53 is: 507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.46 : 970.35 = 338.53 : x
  2. Step 2: Convert to fraction form
    647.46/970.35 = 338.53/x
  3. Step 3: Cross multiply
    647.46x = 970.35 × 338.53
  4. Step 4: Simplify right side
    647.46x = 328,492.59
  5. Step 5: Solve for x
    x = 328,492.59/647.46
  6. Step 6: Final answer
    x = 507.36

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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.