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Finding the Fourth Proportional to 709.83, 979.65 and 430.16

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Solution

The fourth proportional to 709.83, 979.65 and 430.16 is: 593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.83 : 979.65 = 430.16 : x
  2. Step 2: Convert to fraction form
    709.83/979.65 = 430.16/x
  3. Step 3: Cross multiply
    709.83x = 979.65 × 430.16
  4. Step 4: Simplify right side
    709.83x = 421,406.24
  5. Step 5: Solve for x
    x = 421,406.24/709.83
  6. Step 6: Final answer
    x = 593.67

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1.5x scale

Why These Related Problems?

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