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Finding the Fourth Proportional to 473.55, 653.27 and 407.94

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Solution

The fourth proportional to 473.55, 653.27 and 407.94 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.55 : 653.27 = 407.94 : x
  2. Step 2: Convert to fraction form
    473.55/653.27 = 407.94/x
  3. Step 3: Cross multiply
    473.55x = 653.27 × 407.94
  4. Step 4: Simplify right side
    473.55x = 266,491.29
  5. Step 5: Solve for x
    x = 266,491.29/473.55
  6. Step 6: Final answer
    x = 562.76

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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.