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Finding the Fourth Proportional to 473.93, 653.49 and 407.48

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Solution

The fourth proportional to 473.93, 653.49 and 407.48 is: 561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.93 : 653.49 = 407.48 : x
  2. Step 2: Convert to fraction form
    473.93/653.49 = 407.48/x
  3. Step 3: Cross multiply
    473.93x = 653.49 × 407.48
  4. Step 4: Simplify right side
    473.93x = 266,285.66
  5. Step 5: Solve for x
    x = 266,285.66/473.93
  6. Step 6: Final answer
    x = 561.87

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