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Finding the Fourth Proportional to 522.45, 783.80 and 368.67

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Solution

The fourth proportional to 522.45, 783.80 and 368.67 is: 553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 783.80 = 368.67 : x
  2. Step 2: Convert to fraction form
    522.45/783.80 = 368.67/x
  3. Step 3: Cross multiply
    522.45x = 783.80 × 368.67
  4. Step 4: Simplify right side
    522.45x = 288,967.06
  5. Step 5: Solve for x
    x = 288,967.06/522.45
  6. Step 6: Final answer
    x = 553.10

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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.