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Finding the Fourth Proportional to 666.04, 918.66 and 433

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Solution

The fourth proportional to 666.04, 918.66 and 433 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.04 : 918.66 = 433 : x
  2. Step 2: Convert to fraction form
    666.04/918.66 = 433/x
  3. Step 3: Cross multiply
    666.04x = 918.66 × 433
  4. Step 4: Simplify right side
    666.04x = 397,779.78
  5. Step 5: Solve for x
    x = 397,779.78/666.04
  6. Step 6: Final answer
    x = 597.23

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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.