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Finding the Fourth Proportional to 623.46, 935.76 and 315.53

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Solution

The fourth proportional to 623.46, 935.76 and 315.53 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.46 : 935.76 = 315.53 : x
  2. Step 2: Convert to fraction form
    623.46/935.76 = 315.53/x
  3. Step 3: Cross multiply
    623.46x = 935.76 × 315.53
  4. Step 4: Simplify right side
    623.46x = 295,256.86
  5. Step 5: Solve for x
    x = 295,256.86/623.46
  6. Step 6: Final answer
    x = 473.58

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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.