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Finding the Fourth Proportional to 659.46, 989.46 and 313.02

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Solution

The fourth proportional to 659.46, 989.46 and 313.02 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 989.46 = 313.02 : x
  2. Step 2: Convert to fraction form
    659.46/989.46 = 313.02/x
  3. Step 3: Cross multiply
    659.46x = 989.46 × 313.02
  4. Step 4: Simplify right side
    659.46x = 309,720.77
  5. Step 5: Solve for x
    x = 309,720.77/659.46
  6. Step 6: Final answer
    x = 469.66

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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.