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Finding the Fourth Proportional to 707.19, 975.83 and 412.40

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Solution

The fourth proportional to 707.19, 975.83 and 412.40 is: 569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.19 : 975.83 = 412.40 : x
  2. Step 2: Convert to fraction form
    707.19/975.83 = 412.40/x
  3. Step 3: Cross multiply
    707.19x = 975.83 × 412.40
  4. Step 4: Simplify right side
    707.19x = 402,425.35
  5. Step 5: Solve for x
    x = 402,425.35/707.19
  6. Step 6: Final answer
    x = 569.05

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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.