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Finding the Fourth Proportional to 535.69, 802.64 and 380.87

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Solution

The fourth proportional to 535.69, 802.64 and 380.87 is: 570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.69 : 802.64 = 380.87 : x
  2. Step 2: Convert to fraction form
    535.69/802.64 = 380.87/x
  3. Step 3: Cross multiply
    535.69x = 802.64 × 380.87
  4. Step 4: Simplify right side
    535.69x = 305,701.50
  5. Step 5: Solve for x
    x = 305,701.50/535.69
  6. Step 6: Final answer
    x = 570.67

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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.