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Finding the Fourth Proportional to 473.09, 652.64 and 307.32

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Solution

The fourth proportional to 473.09, 652.64 and 307.32 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.09 : 652.64 = 307.32 : x
  2. Step 2: Convert to fraction form
    473.09/652.64 = 307.32/x
  3. Step 3: Cross multiply
    473.09x = 652.64 × 307.32
  4. Step 4: Simplify right side
    473.09x = 200,567.79
  5. Step 5: Solve for x
    x = 200,567.79/473.09
  6. Step 6: Final answer
    x = 423.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.