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Finding the Fourth Proportional to 473.15, 709.74 and 435.09

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Solution

The fourth proportional to 473.15, 709.74 and 435.09 is: 652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 709.74 = 435.09 : x
  2. Step 2: Convert to fraction form
    473.15/709.74 = 435.09/x
  3. Step 3: Cross multiply
    473.15x = 709.74 × 435.09
  4. Step 4: Simplify right side
    473.15x = 308,800.78
  5. Step 5: Solve for x
    x = 308,800.78/473.15
  6. Step 6: Final answer
    x = 652.65

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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.