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Finding the Fourth Proportional to 916.45, 1,374.77 and 368.64

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Solution

The fourth proportional to 916.45, 1,374.77 and 368.64 is: 553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.45 : 1,374.77 = 368.64 : x
  2. Step 2: Convert to fraction form
    916.45/1,374.77 = 368.64/x
  3. Step 3: Cross multiply
    916.45x = 1,374.77 × 368.64
  4. Step 4: Simplify right side
    916.45x = 506,796.13
  5. Step 5: Solve for x
    x = 506,796.13/916.45
  6. Step 6: Final answer
    x = 553.00

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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.