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Finding the Fourth Proportional to 612.75, 916.83 and 430.50

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Solution

The fourth proportional to 612.75, 916.83 and 430.50 is: 644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.75 : 916.83 = 430.50 : x
  2. Step 2: Convert to fraction form
    612.75/916.83 = 430.50/x
  3. Step 3: Cross multiply
    612.75x = 916.83 × 430.50
  4. Step 4: Simplify right side
    612.75x = 394,695.32
  5. Step 5: Solve for x
    x = 394,695.32/612.75
  6. Step 6: Final answer
    x = 644.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.