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Finding the Fourth Proportional to 656.47, 983.90 and 363.96

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Solution

The fourth proportional to 656.47, 983.90 and 363.96 is: 545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.47 : 983.90 = 363.96 : x
  2. Step 2: Convert to fraction form
    656.47/983.90 = 363.96/x
  3. Step 3: Cross multiply
    656.47x = 983.90 × 363.96
  4. Step 4: Simplify right side
    656.47x = 358,099.11
  5. Step 5: Solve for x
    x = 358,099.11/656.47
  6. Step 6: Final answer
    x = 545.49

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Double scale
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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.