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Finding the Fourth Proportional to 530.40, 732.70 and 425.35

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Solution

The fourth proportional to 530.40, 732.70 and 425.35 is: 587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 732.70 = 425.35 : x
  2. Step 2: Convert to fraction form
    530.40/732.70 = 425.35/x
  3. Step 3: Cross multiply
    530.40x = 732.70 × 425.35
  4. Step 4: Simplify right side
    530.40x = 311,653.00
  5. Step 5: Solve for x
    x = 311,653.00/530.40
  6. Step 6: Final answer
    x = 587.58

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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.