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Finding the Fourth Proportional to 430.79, 594.76 and 283.67

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Solution

The fourth proportional to 430.79, 594.76 and 283.67 is: 391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.79 : 594.76 = 283.67 : x
  2. Step 2: Convert to fraction form
    430.79/594.76 = 283.67/x
  3. Step 3: Cross multiply
    430.79x = 594.76 × 283.67
  4. Step 4: Simplify right side
    430.79x = 168,711.18
  5. Step 5: Solve for x
    x = 168,711.18/430.79
  6. Step 6: Final answer
    x = 391.64

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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.