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Finding the Fourth Proportional to 595.84, 822.33 and 455.71

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Solution

The fourth proportional to 595.84, 822.33 and 455.71 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.84 : 822.33 = 455.71 : x
  2. Step 2: Convert to fraction form
    595.84/822.33 = 455.71/x
  3. Step 3: Cross multiply
    595.84x = 822.33 × 455.71
  4. Step 4: Simplify right side
    595.84x = 374,744.00
  5. Step 5: Solve for x
    x = 374,744.00/595.84
  6. Step 6: Final answer
    x = 628.93

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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.