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Finding the Fourth Proportional to 492.84, 740.10 and 473.22

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Solution

The fourth proportional to 492.84, 740.10 and 473.22 is: 710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 740.10 = 473.22 : x
  2. Step 2: Convert to fraction form
    492.84/740.10 = 473.22/x
  3. Step 3: Cross multiply
    492.84x = 740.10 × 473.22
  4. Step 4: Simplify right side
    492.84x = 350,227.76
  5. Step 5: Solve for x
    x = 350,227.76/492.84
  6. Step 6: Final answer
    x = 710.63

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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.