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Finding the Fourth Proportional to 495.77, 746.19 and 436.23

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Solution

The fourth proportional to 495.77, 746.19 and 436.23 is: 656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 746.19 = 436.23 : x
  2. Step 2: Convert to fraction form
    495.77/746.19 = 436.23/x
  3. Step 3: Cross multiply
    495.77x = 746.19 × 436.23
  4. Step 4: Simplify right side
    495.77x = 325,510.46
  5. Step 5: Solve for x
    x = 325,510.46/495.77
  6. Step 6: Final answer
    x = 656.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.