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Finding the Fourth Proportional to 623.16, 934.32 and 314.54

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Solution

The fourth proportional to 623.16, 934.32 and 314.54 is: 471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 934.32 = 314.54 : x
  2. Step 2: Convert to fraction form
    623.16/934.32 = 314.54/x
  3. Step 3: Cross multiply
    623.16x = 934.32 × 314.54
  4. Step 4: Simplify right side
    623.16x = 293,881.01
  5. Step 5: Solve for x
    x = 293,881.01/623.16
  6. Step 6: Final answer
    x = 471.60

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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.