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Finding the Fourth Proportional to 935.93, 1,404.11 and 319.64

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Solution

The fourth proportional to 935.93, 1,404.11 and 319.64 is: 479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.93 : 1,404.11 = 319.64 : x
  2. Step 2: Convert to fraction form
    935.93/1,404.11 = 319.64/x
  3. Step 3: Cross multiply
    935.93x = 1,404.11 × 319.64
  4. Step 4: Simplify right side
    935.93x = 448,801.10
  5. Step 5: Solve for x
    x = 448,801.10/935.93
  6. Step 6: Final answer
    x = 479.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.