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Finding the Fourth Proportional to 595.14, 893.70 and 448.90

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Solution

The fourth proportional to 595.14, 893.70 and 448.90 is: 674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 893.70 = 448.90 : x
  2. Step 2: Convert to fraction form
    595.14/893.70 = 448.90/x
  3. Step 3: Cross multiply
    595.14x = 893.70 × 448.90
  4. Step 4: Simplify right side
    595.14x = 401,181.93
  5. Step 5: Solve for x
    x = 401,181.93/595.14
  6. Step 6: Final answer
    x = 674.10

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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.