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Finding the Fourth Proportional to 499.72, 689.16 and 313

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Solution

The fourth proportional to 499.72, 689.16 and 313 is: 431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.72 : 689.16 = 313 : x
  2. Step 2: Convert to fraction form
    499.72/689.16 = 313/x
  3. Step 3: Cross multiply
    499.72x = 689.16 × 313
  4. Step 4: Simplify right side
    499.72x = 215,707.08
  5. Step 5: Solve for x
    x = 215,707.08/499.72
  6. Step 6: Final answer
    x = 431.66

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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.