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Finding the Fourth Proportional to 707.16, 975.74 and 427.44

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Solution

The fourth proportional to 707.16, 975.74 and 427.44 is: 589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.16 : 975.74 = 427.44 : x
  2. Step 2: Convert to fraction form
    707.16/975.74 = 427.44/x
  3. Step 3: Cross multiply
    707.16x = 975.74 × 427.44
  4. Step 4: Simplify right side
    707.16x = 417,068.17
  5. Step 5: Solve for x
    x = 417,068.17/707.16
  6. Step 6: Final answer
    x = 589.78

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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.