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Finding the Fourth Proportional to 508.86, 765.14 and 468.77

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Solution

The fourth proportional to 508.86, 765.14 and 468.77 is: 704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 765.14 = 468.77 : x
  2. Step 2: Convert to fraction form
    508.86/765.14 = 468.77/x
  3. Step 3: Cross multiply
    508.86x = 765.14 × 468.77
  4. Step 4: Simplify right side
    508.86x = 358,668.51
  5. Step 5: Solve for x
    x = 358,668.51/508.86
  6. Step 6: Final answer
    x = 704.85

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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.