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Finding the Fourth Proportional to 473.50, 653.01 and 307.56

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Solution

The fourth proportional to 473.50, 653.01 and 307.56 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.50 : 653.01 = 307.56 : x
  2. Step 2: Convert to fraction form
    473.50/653.01 = 307.56/x
  3. Step 3: Cross multiply
    473.50x = 653.01 × 307.56
  4. Step 4: Simplify right side
    473.50x = 200,839.76
  5. Step 5: Solve for x
    x = 200,839.76/473.50
  6. Step 6: Final answer
    x = 424.16

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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.