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Finding the Fourth Proportional to 357.08, 534.70 and 302.40

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Solution

The fourth proportional to 357.08, 534.70 and 302.40 is: 452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.08 : 534.70 = 302.40 : x
  2. Step 2: Convert to fraction form
    357.08/534.70 = 302.40/x
  3. Step 3: Cross multiply
    357.08x = 534.70 × 302.40
  4. Step 4: Simplify right side
    357.08x = 161,693.28
  5. Step 5: Solve for x
    x = 161,693.28/357.08
  6. Step 6: Final answer
    x = 452.82

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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.