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Finding the Fourth Proportional to 492.98, 740.15 and 309.83

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Solution

The fourth proportional to 492.98, 740.15 and 309.83 is: 465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.98 : 740.15 = 309.83 : x
  2. Step 2: Convert to fraction form
    492.98/740.15 = 309.83/x
  3. Step 3: Cross multiply
    492.98x = 740.15 × 309.83
  4. Step 4: Simplify right side
    492.98x = 229,319.13
  5. Step 5: Solve for x
    x = 229,319.13/492.98
  6. Step 6: Final answer
    x = 465.17

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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.