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Finding the Fourth Proportional to 595.77, 822.18 and 416.35

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Solution

The fourth proportional to 595.77, 822.18 and 416.35 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.77 : 822.18 = 416.35 : x
  2. Step 2: Convert to fraction form
    595.77/822.18 = 416.35/x
  3. Step 3: Cross multiply
    595.77x = 822.18 × 416.35
  4. Step 4: Simplify right side
    595.77x = 342,314.64
  5. Step 5: Solve for x
    x = 342,314.64/595.77
  6. Step 6: Final answer
    x = 574.58

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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.