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Finding the Fourth Proportional to 470.42, 707.00 and 436.47

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Solution

The fourth proportional to 470.42, 707.00 and 436.47 is: 655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 707.00 = 436.47 : x
  2. Step 2: Convert to fraction form
    470.42/707.00 = 436.47/x
  3. Step 3: Cross multiply
    470.42x = 707.00 × 436.47
  4. Step 4: Simplify right side
    470.42x = 308,582.11
  5. Step 5: Solve for x
    x = 308,582.11/470.42
  6. Step 6: Final answer
    x = 655.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.