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Finding the Fourth Proportional to 522.77, 781.84 and 465.40

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Solution

The fourth proportional to 522.77, 781.84 and 465.40 is: 696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.77 : 781.84 = 465.40 : x
  2. Step 2: Convert to fraction form
    522.77/781.84 = 465.40/x
  3. Step 3: Cross multiply
    522.77x = 781.84 × 465.40
  4. Step 4: Simplify right side
    522.77x = 363,868.34
  5. Step 5: Solve for x
    x = 363,868.34/522.77
  6. Step 6: Final answer
    x = 696.04

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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.