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Finding the Fourth Proportional to 577.76, 865.76 and 456.24

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Solution

The fourth proportional to 577.76, 865.76 and 456.24 is: 683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 865.76 = 456.24 : x
  2. Step 2: Convert to fraction form
    577.76/865.76 = 456.24/x
  3. Step 3: Cross multiply
    577.76x = 865.76 × 456.24
  4. Step 4: Simplify right side
    577.76x = 394,994.34
  5. Step 5: Solve for x
    x = 394,994.34/577.76
  6. Step 6: Final answer
    x = 683.67

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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.