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Finding the Fourth Proportional to 602.83, 904.75 and 429.92

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Solution

The fourth proportional to 602.83, 904.75 and 429.92 is: 645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.83 : 904.75 = 429.92 : x
  2. Step 2: Convert to fraction form
    602.83/904.75 = 429.92/x
  3. Step 3: Cross multiply
    602.83x = 904.75 × 429.92
  4. Step 4: Simplify right side
    602.83x = 388,965.60
  5. Step 5: Solve for x
    x = 388,965.60/602.83
  6. Step 6: Final answer
    x = 645.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.