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Finding the Fourth Proportional to 594.08, 820.16 and 407.68

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Solution

The fourth proportional to 594.08, 820.16 and 407.68 is: 562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.08 : 820.16 = 407.68 : x
  2. Step 2: Convert to fraction form
    594.08/820.16 = 407.68/x
  3. Step 3: Cross multiply
    594.08x = 820.16 × 407.68
  4. Step 4: Simplify right side
    594.08x = 334,362.83
  5. Step 5: Solve for x
    x = 334,362.83/594.08
  6. Step 6: Final answer
    x = 562.82

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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.