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Finding the Fourth Proportional to 595.01, 821.51 and 362.53

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Solution

The fourth proportional to 595.01, 821.51 and 362.53 is: 500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.01 : 821.51 = 362.53 : x
  2. Step 2: Convert to fraction form
    595.01/821.51 = 362.53/x
  3. Step 3: Cross multiply
    595.01x = 821.51 × 362.53
  4. Step 4: Simplify right side
    595.01x = 297,820.21
  5. Step 5: Solve for x
    x = 297,820.21/595.01
  6. Step 6: Final answer
    x = 500.53

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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.