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Finding the Fourth Proportional to 415.42, 573.48 and 285.10

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Solution

The fourth proportional to 415.42, 573.48 and 285.10 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 573.48 = 285.10 : x
  2. Step 2: Convert to fraction form
    415.42/573.48 = 285.10/x
  3. Step 3: Cross multiply
    415.42x = 573.48 × 285.10
  4. Step 4: Simplify right side
    415.42x = 163,499.15
  5. Step 5: Solve for x
    x = 163,499.15/415.42
  6. Step 6: Final answer
    x = 393.58

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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.