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Finding the Fourth Proportional to 370.64, 508.18 and 358.16

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Solution

The fourth proportional to 370.64, 508.18 and 358.16 is: 491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.64 : 508.18 = 358.16 : x
  2. Step 2: Convert to fraction form
    370.64/508.18 = 358.16/x
  3. Step 3: Cross multiply
    370.64x = 508.18 × 358.16
  4. Step 4: Simplify right side
    370.64x = 182,009.75
  5. Step 5: Solve for x
    x = 182,009.75/370.64
  6. Step 6: Final answer
    x = 491.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.