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Finding the Fourth Proportional to 595.55, 822.94 and 456.14

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Solution

The fourth proportional to 595.55, 822.94 and 456.14 is: 630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.55 : 822.94 = 456.14 : x
  2. Step 2: Convert to fraction form
    595.55/822.94 = 456.14/x
  3. Step 3: Cross multiply
    595.55x = 822.94 × 456.14
  4. Step 4: Simplify right side
    595.55x = 375,370.60
  5. Step 5: Solve for x
    x = 375,370.60/595.55
  6. Step 6: Final answer
    x = 630.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.