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Finding the Fourth Proportional to 515.22, 770.53 and 457.81

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Solution

The fourth proportional to 515.22, 770.53 and 457.81 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.22 : 770.53 = 457.81 : x
  2. Step 2: Convert to fraction form
    515.22/770.53 = 457.81/x
  3. Step 3: Cross multiply
    515.22x = 770.53 × 457.81
  4. Step 4: Simplify right side
    515.22x = 352,756.34
  5. Step 5: Solve for x
    x = 352,756.34/515.22
  6. Step 6: Final answer
    x = 684.67

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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.