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Finding the Fourth Proportional to 556.15, 766.93 and 431.76

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Solution

The fourth proportional to 556.15, 766.93 and 431.76 is: 595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.15 : 766.93 = 431.76 : x
  2. Step 2: Convert to fraction form
    556.15/766.93 = 431.76/x
  3. Step 3: Cross multiply
    556.15x = 766.93 × 431.76
  4. Step 4: Simplify right side
    556.15x = 331,128.50
  5. Step 5: Solve for x
    x = 331,128.50/556.15
  6. Step 6: Final answer
    x = 595.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.