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Finding the Fourth Proportional to 430.90, 594.93 and 283.78

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Solution

The fourth proportional to 430.90, 594.93 and 283.78 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.90 : 594.93 = 283.78 : x
  2. Step 2: Convert to fraction form
    430.90/594.93 = 283.78/x
  3. Step 3: Cross multiply
    430.90x = 594.93 × 283.78
  4. Step 4: Simplify right side
    430.90x = 168,829.24
  5. Step 5: Solve for x
    x = 168,829.24/430.90
  6. Step 6: Final answer
    x = 391.81

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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.