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Finding the Fourth Proportional to 707.61, 976.12 and 412.63

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Solution

The fourth proportional to 707.61, 976.12 and 412.63 is: 569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.61 : 976.12 = 412.63 : x
  2. Step 2: Convert to fraction form
    707.61/976.12 = 412.63/x
  3. Step 3: Cross multiply
    707.61x = 976.12 × 412.63
  4. Step 4: Simplify right side
    707.61x = 402,776.40
  5. Step 5: Solve for x
    x = 402,776.40/707.61
  6. Step 6: Final answer
    x = 569.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.