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Finding the Fourth Proportional to 623.30, 934.91 and 507.20

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Solution

The fourth proportional to 623.30, 934.91 and 507.20 is: 760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.30 : 934.91 = 507.20 : x
  2. Step 2: Convert to fraction form
    623.30/934.91 = 507.20/x
  3. Step 3: Cross multiply
    623.30x = 934.91 × 507.20
  4. Step 4: Simplify right side
    623.30x = 474,181.04
  5. Step 5: Solve for x
    x = 474,181.04/623.30
  6. Step 6: Final answer
    x = 760.77

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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.