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Finding the Fourth Proportional to 595.95, 822.50 and 363.06

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Solution

The fourth proportional to 595.95, 822.50 and 363.06 is: 501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.95 : 822.50 = 363.06 : x
  2. Step 2: Convert to fraction form
    595.95/822.50 = 363.06/x
  3. Step 3: Cross multiply
    595.95x = 822.50 × 363.06
  4. Step 4: Simplify right side
    595.95x = 298,613.65
  5. Step 5: Solve for x
    x = 298,613.65/595.95
  6. Step 6: Final answer
    x = 501.08

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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.