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Finding the Fourth Proportional to 594.52, 820.62 and 507.16

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Solution

The fourth proportional to 594.52, 820.62 and 507.16 is: 700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.52 : 820.62 = 507.16 : x
  2. Step 2: Convert to fraction form
    594.52/820.62 = 507.16/x
  3. Step 3: Cross multiply
    594.52x = 820.62 × 507.16
  4. Step 4: Simplify right side
    594.52x = 416,185.64
  5. Step 5: Solve for x
    x = 416,185.64/594.52
  6. Step 6: Final answer
    x = 700.04

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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.