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Finding the Fourth Proportional to 595.56, 821.58 and 362.28

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Solution

The fourth proportional to 595.56, 821.58 and 362.28 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.56 : 821.58 = 362.28 : x
  2. Step 2: Convert to fraction form
    595.56/821.58 = 362.28/x
  3. Step 3: Cross multiply
    595.56x = 821.58 × 362.28
  4. Step 4: Simplify right side
    595.56x = 297,642.00
  5. Step 5: Solve for x
    x = 297,642.00/595.56
  6. Step 6: Final answer
    x = 499.77

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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.