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Finding the Fourth Proportional to 595.91, 893.50 and 266.78

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Solution

The fourth proportional to 595.91, 893.50 and 266.78 is: 400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.91 : 893.50 = 266.78 : x
  2. Step 2: Convert to fraction form
    595.91/893.50 = 266.78/x
  3. Step 3: Cross multiply
    595.91x = 893.50 × 266.78
  4. Step 4: Simplify right side
    595.91x = 238,368.83
  5. Step 5: Solve for x
    x = 238,368.83/595.91
  6. Step 6: Final answer
    x = 400.01

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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.