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Finding the Fourth Proportional to 706.94, 975.58 and 430.94

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Solution

The fourth proportional to 706.94, 975.58 and 430.94 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.94 : 975.58 = 430.94 : x
  2. Step 2: Convert to fraction form
    706.94/975.58 = 430.94/x
  3. Step 3: Cross multiply
    706.94x = 975.58 × 430.94
  4. Step 4: Simplify right side
    706.94x = 420,411.85
  5. Step 5: Solve for x
    x = 420,411.85/706.94
  6. Step 6: Final answer
    x = 594.69

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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.