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Finding the Fourth Proportional to 677.80, 935.37 and 383.07

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Solution

The fourth proportional to 677.80, 935.37 and 383.07 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.80 : 935.37 = 383.07 : x
  2. Step 2: Convert to fraction form
    677.80/935.37 = 383.07/x
  3. Step 3: Cross multiply
    677.80x = 935.37 × 383.07
  4. Step 4: Simplify right side
    677.80x = 358,312.19
  5. Step 5: Solve for x
    x = 358,312.19/677.80
  6. Step 6: Final answer
    x = 528.64

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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.