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Finding the Fourth Proportional to 623.28, 935.34 and 430.56

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Solution

The fourth proportional to 623.28, 935.34 and 430.56 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 935.34 = 430.56 : x
  2. Step 2: Convert to fraction form
    623.28/935.34 = 430.56/x
  3. Step 3: Cross multiply
    623.28x = 935.34 × 430.56
  4. Step 4: Simplify right side
    623.28x = 402,719.99
  5. Step 5: Solve for x
    x = 402,719.99/623.28
  6. Step 6: Final answer
    x = 646.13

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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.