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Finding the Fourth Proportional to 595.87, 893.53 and 459

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Solution

The fourth proportional to 595.87, 893.53 and 459 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.87 : 893.53 = 459 : x
  2. Step 2: Convert to fraction form
    595.87/893.53 = 459/x
  3. Step 3: Cross multiply
    595.87x = 893.53 × 459
  4. Step 4: Simplify right side
    595.87x = 410,130.27
  5. Step 5: Solve for x
    x = 410,130.27/595.87
  6. Step 6: Final answer
    x = 688.29

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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.