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Finding the Fourth Proportional to 623.36, 860.64 and 507.20

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Solution

The fourth proportional to 623.36, 860.64 and 507.20 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.36 : 860.64 = 507.20 : x
  2. Step 2: Convert to fraction form
    623.36/860.64 = 507.20/x
  3. Step 3: Cross multiply
    623.36x = 860.64 × 507.20
  4. Step 4: Simplify right side
    623.36x = 436,516.61
  5. Step 5: Solve for x
    x = 436,516.61/623.36
  6. Step 6: Final answer
    x = 700.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.