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Finding the Fourth Proportional to 610.96, 841.68 and 433.84

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Solution

The fourth proportional to 610.96, 841.68 and 433.84 is: 597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.96 : 841.68 = 433.84 : x
  2. Step 2: Convert to fraction form
    610.96/841.68 = 433.84/x
  3. Step 3: Cross multiply
    610.96x = 841.68 × 433.84
  4. Step 4: Simplify right side
    610.96x = 365,154.45
  5. Step 5: Solve for x
    x = 365,154.45/610.96
  6. Step 6: Final answer
    x = 597.67

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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.