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Finding the Fourth Proportional to 647.53, 970.58 and 282.62

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Solution

The fourth proportional to 647.53, 970.58 and 282.62 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.53 : 970.58 = 282.62 : x
  2. Step 2: Convert to fraction form
    647.53/970.58 = 282.62/x
  3. Step 3: Cross multiply
    647.53x = 970.58 × 282.62
  4. Step 4: Simplify right side
    647.53x = 274,308.45
  5. Step 5: Solve for x
    x = 274,308.45/647.53
  6. Step 6: Final answer
    x = 423.62

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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.