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Finding the Fourth Proportional to 677.34, 933.60 and 529.70

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Solution

The fourth proportional to 677.34, 933.60 and 529.70 is: 730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.34 : 933.60 = 529.70 : x
  2. Step 2: Convert to fraction form
    677.34/933.60 = 529.70/x
  3. Step 3: Cross multiply
    677.34x = 933.60 × 529.70
  4. Step 4: Simplify right side
    677.34x = 494,527.92
  5. Step 5: Solve for x
    x = 494,527.92/677.34
  6. Step 6: Final answer
    x = 730.10

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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.