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Finding the Fourth Proportional to 459.77, 689.43 and 313.75

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Solution

The fourth proportional to 459.77, 689.43 and 313.75 is: 470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.77 : 689.43 = 313.75 : x
  2. Step 2: Convert to fraction form
    459.77/689.43 = 313.75/x
  3. Step 3: Cross multiply
    459.77x = 689.43 × 313.75
  4. Step 4: Simplify right side
    459.77x = 216,305.22
  5. Step 5: Solve for x
    x = 216,305.22/459.77
  6. Step 6: Final answer
    x = 470.46

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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.