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Finding the Fourth Proportional to 555.52, 766.88 and 430.89

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Solution

The fourth proportional to 555.52, 766.88 and 430.89 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.52 : 766.88 = 430.89 : x
  2. Step 2: Convert to fraction form
    555.52/766.88 = 430.89/x
  3. Step 3: Cross multiply
    555.52x = 766.88 × 430.89
  4. Step 4: Simplify right side
    555.52x = 330,442.00
  5. Step 5: Solve for x
    x = 330,442.00/555.52
  6. Step 6: Final answer
    x = 594.84

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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.