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Finding the Fourth Proportional to 555.51, 766.98 and 429.24

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Solution

The fourth proportional to 555.51, 766.98 and 429.24 is: 592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.51 : 766.98 = 429.24 : x
  2. Step 2: Convert to fraction form
    555.51/766.98 = 429.24/x
  3. Step 3: Cross multiply
    555.51x = 766.98 × 429.24
  4. Step 4: Simplify right side
    555.51x = 329,218.50
  5. Step 5: Solve for x
    x = 329,218.50/555.51
  6. Step 6: Final answer
    x = 592.64

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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.