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Finding the Fourth Proportional to 509.40, 714.60 and 509.40

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Solution

The fourth proportional to 509.40, 714.60 and 509.40 is: 714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 714.60 = 509.40 : x
  2. Step 2: Convert to fraction form
    509.40/714.60 = 509.40/x
  3. Step 3: Cross multiply
    509.40x = 714.60 × 509.40
  4. Step 4: Simplify right side
    509.40x = 364,017.24
  5. Step 5: Solve for x
    x = 364,017.24/509.40
  6. Step 6: Final answer
    x = 714.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.