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Finding the Fourth Proportional to 473.47, 709.16 and 290.32

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Solution

The fourth proportional to 473.47, 709.16 and 290.32 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.47 : 709.16 = 290.32 : x
  2. Step 2: Convert to fraction form
    473.47/709.16 = 290.32/x
  3. Step 3: Cross multiply
    473.47x = 709.16 × 290.32
  4. Step 4: Simplify right side
    473.47x = 205,880.11
  5. Step 5: Solve for x
    x = 205,880.11/473.47
  6. Step 6: Final answer
    x = 434.83

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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.