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Finding the Fourth Proportional to 459.68, 689.46 and 313.64

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Solution

The fourth proportional to 459.68, 689.46 and 313.64 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.68 : 689.46 = 313.64 : x
  2. Step 2: Convert to fraction form
    459.68/689.46 = 313.64/x
  3. Step 3: Cross multiply
    459.68x = 689.46 × 313.64
  4. Step 4: Simplify right side
    459.68x = 216,242.23
  5. Step 5: Solve for x
    x = 216,242.23/459.68
  6. Step 6: Final answer
    x = 470.42

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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.