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Finding the Fourth Proportional to 605.07, 903.86 and 430.36

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Solution

The fourth proportional to 605.07, 903.86 and 430.36 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 903.86 = 430.36 : x
  2. Step 2: Convert to fraction form
    605.07/903.86 = 430.36/x
  3. Step 3: Cross multiply
    605.07x = 903.86 × 430.36
  4. Step 4: Simplify right side
    605.07x = 388,985.19
  5. Step 5: Solve for x
    x = 388,985.19/605.07
  6. Step 6: Final answer
    x = 642.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.