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Finding the Fourth Proportional to 595.30, 888.68 and 512.14

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Solution

The fourth proportional to 595.30, 888.68 and 512.14 is: 764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.30 : 888.68 = 512.14 : x
  2. Step 2: Convert to fraction form
    595.30/888.68 = 512.14/x
  3. Step 3: Cross multiply
    595.30x = 888.68 × 512.14
  4. Step 4: Simplify right side
    595.30x = 455,128.58
  5. Step 5: Solve for x
    x = 455,128.58/595.30
  6. Step 6: Final answer
    x = 764.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.