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Finding the Fourth Proportional to 476.22, 710.54 and 430.24

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Solution

The fourth proportional to 476.22, 710.54 and 430.24 is: 641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.22 : 710.54 = 430.24 : x
  2. Step 2: Convert to fraction form
    476.22/710.54 = 430.24/x
  3. Step 3: Cross multiply
    476.22x = 710.54 × 430.24
  4. Step 4: Simplify right side
    476.22x = 305,702.73
  5. Step 5: Solve for x
    x = 305,702.73/476.22
  6. Step 6: Final answer
    x = 641.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.