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Finding the Fourth Proportional to 430.85, 594.56 and 265.34

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Solution

The fourth proportional to 430.85, 594.56 and 265.34 is: 366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.85 : 594.56 = 265.34 : x
  2. Step 2: Convert to fraction form
    430.85/594.56 = 265.34/x
  3. Step 3: Cross multiply
    430.85x = 594.56 × 265.34
  4. Step 4: Simplify right side
    430.85x = 157,756.25
  5. Step 5: Solve for x
    x = 157,756.25/430.85
  6. Step 6: Final answer
    x = 366.16

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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.