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Finding the Fourth Proportional to 972.84, 1,459.26 and 242.43

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Solution

The fourth proportional to 972.84, 1,459.26 and 242.43 is: 363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 1,459.26 = 242.43 : x
  2. Step 2: Convert to fraction form
    972.84/1,459.26 = 242.43/x
  3. Step 3: Cross multiply
    972.84x = 1,459.26 × 242.43
  4. Step 4: Simplify right side
    972.84x = 353,768.40
  5. Step 5: Solve for x
    x = 353,768.40/972.84
  6. Step 6: Final answer
    x = 363.65

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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.