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Finding the Fourth Proportional to 505.55, 758.20 and 358.87

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Solution

The fourth proportional to 505.55, 758.20 and 358.87 is: 538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.55 : 758.20 = 358.87 : x
  2. Step 2: Convert to fraction form
    505.55/758.20 = 358.87/x
  3. Step 3: Cross multiply
    505.55x = 758.20 × 358.87
  4. Step 4: Simplify right side
    505.55x = 272,094.34
  5. Step 5: Solve for x
    x = 272,094.34/505.55
  6. Step 6: Final answer
    x = 538.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.