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Finding the Fourth Proportional to 368.40, 507.70 and 257.70

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Solution

The fourth proportional to 368.40, 507.70 and 257.70 is: 355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 507.70 = 257.70 : x
  2. Step 2: Convert to fraction form
    368.40/507.70 = 257.70/x
  3. Step 3: Cross multiply
    368.40x = 507.70 × 257.70
  4. Step 4: Simplify right side
    368.40x = 130,834.29
  5. Step 5: Solve for x
    x = 130,834.29/368.40
  6. Step 6: Final answer
    x = 355.14

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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.