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Finding the Fourth Proportional to 623.16, 860.58 and 513

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Solution

The fourth proportional to 623.16, 860.58 and 513 is: 708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 860.58 = 513 : x
  2. Step 2: Convert to fraction form
    623.16/860.58 = 513/x
  3. Step 3: Cross multiply
    623.16x = 860.58 × 513
  4. Step 4: Simplify right side
    623.16x = 441,477.54
  5. Step 5: Solve for x
    x = 441,477.54/623.16
  6. Step 6: Final answer
    x = 708.45

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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.