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Finding the Fourth Proportional to 595.02, 893.01 and 378.78

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Solution

The fourth proportional to 595.02, 893.01 and 378.78 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.02 : 893.01 = 378.78 : x
  2. Step 2: Convert to fraction form
    595.02/893.01 = 378.78/x
  3. Step 3: Cross multiply
    595.02x = 893.01 × 378.78
  4. Step 4: Simplify right side
    595.02x = 338,254.33
  5. Step 5: Solve for x
    x = 338,254.33/595.02
  6. Step 6: Final answer
    x = 568.48

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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.