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Finding the Fourth Proportional to 530.10, 730.80 and 413.46

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Solution

The fourth proportional to 530.10, 730.80 and 413.46 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 730.80 = 413.46 : x
  2. Step 2: Convert to fraction form
    530.10/730.80 = 413.46/x
  3. Step 3: Cross multiply
    530.10x = 730.80 × 413.46
  4. Step 4: Simplify right side
    530.10x = 302,156.57
  5. Step 5: Solve for x
    x = 302,156.57/530.10
  6. Step 6: Final answer
    x = 570.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.