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Finding the Fourth Proportional to 623.08, 859.29 and 518.51

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Solution

The fourth proportional to 623.08, 859.29 and 518.51 is: 715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.08 : 859.29 = 518.51 : x
  2. Step 2: Convert to fraction form
    623.08/859.29 = 518.51/x
  3. Step 3: Cross multiply
    623.08x = 859.29 × 518.51
  4. Step 4: Simplify right side
    623.08x = 445,547.87
  5. Step 5: Solve for x
    x = 445,547.87/623.08
  6. Step 6: Final answer
    x = 715.08

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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.