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Finding the Fourth Proportional to 714.04, 984.78 and 465.24

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Solution

The fourth proportional to 714.04, 984.78 and 465.24 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.04 : 984.78 = 465.24 : x
  2. Step 2: Convert to fraction form
    714.04/984.78 = 465.24/x
  3. Step 3: Cross multiply
    714.04x = 984.78 × 465.24
  4. Step 4: Simplify right side
    714.04x = 458,159.05
  5. Step 5: Solve for x
    x = 458,159.05/714.04
  6. Step 6: Final answer
    x = 641.64

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1.5x scale

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.