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Finding the Fourth Proportional to 499.76, 689.71 and 313.25

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Solution

The fourth proportional to 499.76, 689.71 and 313.25 is: 432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 689.71 = 313.25 : x
  2. Step 2: Convert to fraction form
    499.76/689.71 = 313.25/x
  3. Step 3: Cross multiply
    499.76x = 689.71 × 313.25
  4. Step 4: Simplify right side
    499.76x = 216,051.66
  5. Step 5: Solve for x
    x = 216,051.66/499.76
  6. Step 6: Final answer
    x = 432.31

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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.