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Finding the Fourth Proportional to 707.02, 975.80 and 412.46

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Solution

The fourth proportional to 707.02, 975.80 and 412.46 is: 569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.02 : 975.80 = 412.46 : x
  2. Step 2: Convert to fraction form
    707.02/975.80 = 412.46/x
  3. Step 3: Cross multiply
    707.02x = 975.80 × 412.46
  4. Step 4: Simplify right side
    707.02x = 402,478.47
  5. Step 5: Solve for x
    x = 402,478.47/707.02
  6. Step 6: Final answer
    x = 569.26

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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.