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Finding the Fourth Proportional to 607.50, 838.37 and 430.77

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Solution

The fourth proportional to 607.50, 838.37 and 430.77 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 838.37 = 430.77 : x
  2. Step 2: Convert to fraction form
    607.50/838.37 = 430.77/x
  3. Step 3: Cross multiply
    607.50x = 838.37 × 430.77
  4. Step 4: Simplify right side
    607.50x = 361,142.49
  5. Step 5: Solve for x
    x = 361,142.49/607.50
  6. Step 6: Final answer
    x = 594.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.