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Finding the Fourth Proportional to 499.70, 689.46 and 313.18

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Solution

The fourth proportional to 499.70, 689.46 and 313.18 is: 432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.70 : 689.46 = 313.18 : x
  2. Step 2: Convert to fraction form
    499.70/689.46 = 313.18/x
  3. Step 3: Cross multiply
    499.70x = 689.46 × 313.18
  4. Step 4: Simplify right side
    499.70x = 215,925.08
  5. Step 5: Solve for x
    x = 215,925.08/499.70
  6. Step 6: Final answer
    x = 432.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.