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Finding the Fourth Proportional to 473.59, 705.59 and 450.33

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Solution

The fourth proportional to 473.59, 705.59 and 450.33 is: 670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.59 : 705.59 = 450.33 : x
  2. Step 2: Convert to fraction form
    473.59/705.59 = 450.33/x
  3. Step 3: Cross multiply
    473.59x = 705.59 × 450.33
  4. Step 4: Simplify right side
    473.59x = 317,748.34
  5. Step 5: Solve for x
    x = 317,748.34/473.59
  6. Step 6: Final answer
    x = 670.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.