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Finding the Fourth Proportional to 595.51, 893.67 and 459.43

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Solution

The fourth proportional to 595.51, 893.67 and 459.43 is: 689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.51 : 893.67 = 459.43 : x
  2. Step 2: Convert to fraction form
    595.51/893.67 = 459.43/x
  3. Step 3: Cross multiply
    595.51x = 893.67 × 459.43
  4. Step 4: Simplify right side
    595.51x = 410,578.81
  5. Step 5: Solve for x
    x = 410,578.81/595.51
  6. Step 6: Final answer
    x = 689.46

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