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Finding the Fourth Proportional to 710.27, 979.90 and 430.32

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Solution

The fourth proportional to 710.27, 979.90 and 430.32 is: 593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.27 : 979.90 = 430.32 : x
  2. Step 2: Convert to fraction form
    710.27/979.90 = 430.32/x
  3. Step 3: Cross multiply
    710.27x = 979.90 × 430.32
  4. Step 4: Simplify right side
    710.27x = 421,668.42
  5. Step 5: Solve for x
    x = 421,668.42/710.27
  6. Step 6: Final answer
    x = 593.67

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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.