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Finding the Fourth Proportional to 374.01, 564.01 and 368.88

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Solution

The fourth proportional to 374.01, 564.01 and 368.88 is: 556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.01 : 564.01 = 368.88 : x
  2. Step 2: Convert to fraction form
    374.01/564.01 = 368.88/x
  3. Step 3: Cross multiply
    374.01x = 564.01 × 368.88
  4. Step 4: Simplify right side
    374.01x = 208,051.09
  5. Step 5: Solve for x
    x = 208,051.09/374.01
  6. Step 6: Final answer
    x = 556.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.