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Finding the Fourth Proportional to 595.05, 821.07 and 358.95

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Solution

The fourth proportional to 595.05, 821.07 and 358.95 is: 495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.05 : 821.07 = 358.95 : x
  2. Step 2: Convert to fraction form
    595.05/821.07 = 358.95/x
  3. Step 3: Cross multiply
    595.05x = 821.07 × 358.95
  4. Step 4: Simplify right side
    595.05x = 294,723.08
  5. Step 5: Solve for x
    x = 294,723.08/595.05
  6. Step 6: Final answer
    x = 495.29

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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.