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Finding the Fourth Proportional to 560.33, 774 and 430.95

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Solution

The fourth proportional to 560.33, 774 and 430.95 is: 595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.33 : 774 = 430.95 : x
  2. Step 2: Convert to fraction form
    560.33/774 = 430.95/x
  3. Step 3: Cross multiply
    560.33x = 774 × 430.95
  4. Step 4: Simplify right side
    560.33x = 333,555.30
  5. Step 5: Solve for x
    x = 333,555.30/560.33
  6. Step 6: Final answer
    x = 595.29

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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.