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Finding the Fourth Proportional to 430.60, 594.05 and 264.76

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Solution

The fourth proportional to 430.60, 594.05 and 264.76 is: 365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.60 : 594.05 = 264.76 : x
  2. Step 2: Convert to fraction form
    430.60/594.05 = 264.76/x
  3. Step 3: Cross multiply
    430.60x = 594.05 × 264.76
  4. Step 4: Simplify right side
    430.60x = 157,279.35
  5. Step 5: Solve for x
    x = 157,279.35/430.60
  6. Step 6: Final answer
    x = 365.26

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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.