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Finding the Fourth Proportional to 368.94, 509.42 and 313.04

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Solution

The fourth proportional to 368.94, 509.42 and 313.04 is: 432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.94 : 509.42 = 313.04 : x
  2. Step 2: Convert to fraction form
    368.94/509.42 = 313.04/x
  3. Step 3: Cross multiply
    368.94x = 509.42 × 313.04
  4. Step 4: Simplify right side
    368.94x = 159,468.84
  5. Step 5: Solve for x
    x = 159,468.84/368.94
  6. Step 6: Final answer
    x = 432.24

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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.