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Finding the Fourth Proportional to 677.64, 935.32 and 429.08

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Solution

The fourth proportional to 677.64, 935.32 and 429.08 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 935.32 = 429.08 : x
  2. Step 2: Convert to fraction form
    677.64/935.32 = 429.08/x
  3. Step 3: Cross multiply
    677.64x = 935.32 × 429.08
  4. Step 4: Simplify right side
    677.64x = 401,327.11
  5. Step 5: Solve for x
    x = 401,327.11/677.64
  6. Step 6: Final answer
    x = 592.24

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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.